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Das Ergebnis heißt ",[1259,1260,550],"strong",{}," 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",[569,1845,1847,1860],{"className":1846},[572],[569,1848,1850],{"className":1849},[576],[578,1851,1852],{"xmlns":580},[582,1853,1854,1858],{},[585,1855,1856],{},[588,1857,590],{},[592,1859,590],{"encoding":594},[569,1861,1863],{"className":1862,"ariaHidden":599},[598],[569,1864,1866,1869],{"className":1865},[603],[569,1867],{"className":1868,"style":608},[607],[569,1870,590],{"className":1871},[612,613]," liegt: Bei positivem Wert liegt ",[569,1874,1876,1889],{"className":1875},[572],[569,1877,1879],{"className":1878},[576],[578,1880,1881],{"xmlns":580},[582,1882,1883,1887],{},[585,1884,1885],{},[588,1886,590],{},[592,1888,590],{"encoding":594},[569,1890,1892],{"className":1891,"ariaHidden":599},[598],[569,1893,1895,1898],{"className":1894},[603],[569,1896],{"className":1897,"style":608},[607],[569,1899,590],{"className":1900},[612,613]," auf der Seite, in die 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zeigt. Ergibt sich ",[569,1969,1971,1984],{"className":1970},[572],[569,1972,1974],{"className":1973},[576],[578,1975,1976],{"xmlns":580},[582,1977,1978,1982],{},[585,1979,1980],{},[760,1981,813],{},[592,1983,813],{"encoding":594},[569,1985,1987],{"className":1986,"ariaHidden":599},[598],[569,1988,1990,1993],{"className":1989},[603],[569,1991],{"className":1992,"style":1152},[607],[569,1994,813],{"className":1995},[612],", liegt ",[569,1998,2000,2013],{"className":1999},[572],[569,2001,2003],{"className":2002},[576],[578,2004,2005],{"xmlns":580},[582,2006,2007,2011],{},[585,2008,2009],{},[588,2010,590],{},[592,2012,590],{"encoding":594},[569,2014,2016],{"className":2015,"ariaHidden":599},[598],[569,2017,2019,2022],{"className":2018},[603],[569,2020],{"className":2021,"style":608},[607],[569,2023,590],{"className":2024},[612,613]," in der Ebene.",[560,2027,2029],{"id":2028},"beispiele","Beispiele",[565,2031,2032,2033,2126,2127,2404,2405,2619,2620,1296],{},"Abstand von ",[569,2034,2036,2069],{"className":2035},[572],[569,2037,2039],{"className":2038},[576],[578,2040,2041],{"xmlns":580},[582,2042,2043,2066],{},[585,2044,2045,2047,2051,2054,2056,2058,2060,2063],{},[588,2046,590],{},[771,2048,2050],{"stretchy":2049},"false","(",[760,2052,2053],{},"4",[771,2055,1175],{},[760,2057,762],{},[771,2059,1175],{},[760,2061,2062],{},"5",[771,2064,2065],{"stretchy":2049},")",[592,2067,2068],{"encoding":594},"Q(4 \\mid 1 \\mid 5)",[569,2070,2072,2096,2114],{"className":2071,"ariaHidden":599},[598],[569,2073,2075,2078,2081,2084,2087,2090,2093],{"className":2074},[603],[569,2076],{"className":2077,"style":1198},[607],[569,2079,590],{"className":2080},[612,613],[569,2082,2050],{"className":2083},[1417],[569,2085,2053],{"className":2086},[612],[569,2088],{"className":2089,"style":1138},[926],[569,2091,1175],{"className":2092},[1142],[569,2094],{"className":2095,"style":1138},[926],[569,2097,2099,2102,2105,2108,2111],{"className":2098},[603],[569,2100],{"className":2101,"style":1198},[607],[569,2103,762],{"className":2104},[612],[569,2106],{"className":2107,"style":1138},[926],[569,2109,1175],{"className":2110},[1142],[569,2112],{"className":2113,"style":1138},[926],[569,2115,2117,2120,2123],{"className":2116},[603],[569,2118],{"className":2119,"style":1198},[607],[569,2121,2062],{"className":2122},[612],[569,2124,2065],{"className":2125},[1787]," zur Ebene ",[569,2128,2130,2188],{"className":2129},[572],[569,2131,2133],{"className":2132},[576],[578,2134,2135],{"xmlns":580},[582,2136,2137,2185],{},[585,2138,2139,2141,2143,2145,2147,2149,2151,2153,2155,2161,2163,2169,2171,2173,2179,2181,2183],{},[588,2140,629],{},[926,2142],{},[926,2144],{"width":1285},[771,2146],{"lspace":1288,"rspace":1289},[1291,2148,1293],{},[771,2150,1296],{"lspace":1288,"rspace":1288},[926,2152],{"width":1299},[760,2154,780],{},[754,2156,2157,2159],{},[588,2158,767],{},[760,2160,762],{},[771,2162,804],{},[754,2164,2165,2167],{},[588,2166,767],{},[760,2168,780],{},[771,2170,773],{},[760,2172,780],{},[754,2174,2175,2177],{},[588,2176,767],{},[760,2178,795],{},[771,2180,810],{},[771,2182,804],{},[760,2184,795],{},[592,2186,2187],{"encoding":594},"E\\colon 2x_1 - x_2 + 2x_3 = -3",[569,2189,2191,2277,2332,2391],{"className":2190,"ariaHidden":599},[598],[569,2192,2194,2198,2201,2204,2207,2210,2213,2216,2222,2225,2228,2268,2271,2274],{"className":2193},[603],[569,2195],{"className":2196,"style":2197},[607],"height:0.8333em;vertical-align:-0.15em;",[569,2199,629],{"className":2200,"style":645},[612,613],[569,2202],{"className":2203},[926,1384],[569,2205],{"className":2206,"style":1388},[926],[569,2208],{"className":2209},[1392],[569,2211],{"className":2212,"style":1396},[926],[569,2214],{"className":2215,"style":1400},[926],[569,2217,2219],{"className":2218},[612],[569,2220,1296],{"className":2221},[1142],[569,2223],{"className":2224,"style":1410},[926],[569,2226,780],{"className":2227},[612],[569,2229,2231,2234],{"className":2230},[612],[569,2232,767],{"className":2233},[612,613],[569,2235,2237],{"className":2236},[836],[569,2238,2240,2260],{"className":2239},[840,841],[569,2241,2243,2257],{"className":2242},[845],[569,2244,2246],{"className":2245,"style":850},[849],[569,2247,2248,2251],{"style":853},[569,2249],{"className":2250,"style":858},[857],[569,2252,2254],{"className":2253},[862,863,864,865],[569,2255,762],{"className":2256},[612,865],[569,2258,873],{"className":2259},[872],[569,2261,2263],{"className":2262},[845],[569,2264,2266],{"className":2265,"style":880},[849],[569,2267],{},[569,2269],{"className":2270,"style":927},[926],[569,2272,804],{"className":2273},[931],[569,2275],{"className":2276,"style":927},[926],[569,2278,2280,2283,2323,2326,2329],{"className":2279},[603],[569,2281],{"className":2282,"style":826},[607],[569,2284,2286,2289],{"className":2285},[612],[569,2287,767],{"className":2288},[612,613],[569,2290,2292],{"className":2291},[836],[569,2293,2295,2315],{"className":2294},[840,841],[569,2296,2298,2312],{"className":2297},[845],[569,2299,2301],{"className":2300,"style":850},[849],[569,2302,2303,2306],{"style":853},[569,2304],{"className":2305,"style":858},[857],[569,2307,2309],{"className":2308},[862,863,864,865],[569,2310,780],{"className":2311},[612,865],[569,2313,873],{"className":2314},[872],[569,2316,2318],{"className":2317},[845],[569,2319,2321],{"className":2320,"style":880},[849],[569,2322],{},[569,2324],{"className":2325,"style":927},[926],[569,2327,773],{"className":2328},[931],[569,2330],{"className":2331,"style":927},[926],[569,2333,2335,2339,2342,2382,2385,2388],{"className":2334},[603],[569,2336],{"className":2337,"style":2338},[607],"height:0.7944em;vertical-align:-0.15em;",[569,2340,780],{"className":2341},[612],[569,2343,2345,2348],{"className":2344},[612],[569,2346,767],{"className":2347},[612,613],[569,2349,2351],{"className":2350},[836],[569,2352,2354,2374],{"className":2353},[840,841],[569,2355,2357,2371],{"className":2356},[845],[569,2358,2360],{"className":2359,"style":850},[849],[569,2361,2362,2365],{"style":853},[569,2363],{"className":2364,"style":858},[857],[569,2366,2368],{"className":2367},[862,863,864,865],[569,2369,795],{"className":2370},[612,865],[569,2372,873],{"className":2373},[872],[569,2375,2377],{"className":2376},[845],[569,2378,2380],{"className":2379,"style":880},[849],[569,2381],{},[569,2383],{"className":2384,"style":1138},[926],[569,2386,810],{"className":2387},[1142],[569,2389],{"className":2390,"style":1138},[926],[569,2392,2394,2398,2401],{"className":2393},[603],[569,2395],{"className":2396,"style":2397},[607],"height:0.7278em;vertical-align:-0.0833em;",[569,2399,804],{"className":2400},[612],[569,2402,795],{"className":2403},[612],". Es ist ",[569,2406,2408,2451],{"className":2407},[572],[569,2409,2411],{"className":2410},[576],[578,2412,2413],{"xmlns":580},[582,2414,2415,2448],{},[585,2416,2417,2419,2425,2427,2429,2444,2446],{},[588,2418,1175],{"mathvariant":1174},[1177,2420,2421,2423],{"accent":599},[588,2422,758],{},[771,2424,1183],{},[588,2426,1175],{"mathvariant":1174},[771,2428,810],{},[2430,2431,2432],"msqrt",{},[585,2433,2434,2436,2438,2440,2442],{},[760,2435,2053],{},[771,2437,773],{},[760,2439,762],{},[771,2441,773],{},[760,2443,2053],{},[771,2445,810],{},[760,2447,795],{},[592,2449,2450],{"encoding":594},"|\\vec{n}| = \\sqrt{4 + 1 + 4} = 3",[569,2452,2454,2510,2610],{"className":2453,"ariaHidden":599},[598],[569,2455,2457,2460,2463,2498,2501,2504,2507],{"className":2456},[603],[569,2458],{"className":2459,"style":1198},[607],[569,2461,1175],{"className":2462},[612],[569,2464,2466],{"className":2465},[612,1205],[569,2467,2469],{"className":2468},[840],[569,2470,2472],{"className":2471},[845],[569,2473,2475,2483],{"className":2474,"style":1215},[849],[569,2476,2477,2480],{"style":1218},[569,2478],{"className":2479,"style":1222},[857],[569,2481,758],{"className":2482},[612,613],[569,2484,2485,2488],{"style":1218},[569,2486],{"className":2487,"style":1222},[857],[569,2489,2491],{"className":2490,"style":1235},[1234],[569,2492,2494],{"className":2493,"style":1240},[1239],[1242,2495,2496],{"xmlns":1244,"width":1245,"height":1246,"style":1247,"viewBox":1248,"preserveAspectRatio":1249},[1251,2497],{"d":1253},[569,2499,1175],{"className":2500},[612],[569,2502],{"className":2503,"style":1138},[926],[569,2505,810],{"className":2506},[1142],[569,2508],{"className":2509,"style":1138},[926],[569,2511,2513,2517,2601,2604,2607],{"className":2512},[603],[569,2514],{"className":2515,"style":2516},[607],"height:1.04em;vertical-align:-0.1744em;",[569,2518,2521],{"className":2519},[612,2520],"sqrt",[569,2522,2524,2592],{"className":2523},[840,841],[569,2525,2527,2589],{"className":2526},[845],[569,2528,2531,2569],{"className":2529,"style":2530},[849],"height:0.8656em;",[569,2532,2535,2538],{"className":2533,"style":1218},[2534],"svg-align",[569,2536],{"className":2537,"style":1222},[857],[569,2539,2542,2545,2548,2551,2554,2557,2560,2563,2566],{"className":2540,"style":2541},[612],"padding-left:0.833em;",[569,2543,2053],{"className":2544},[612],[569,2546],{"className":2547,"style":927},[926],[569,2549,773],{"className":2550},[931],[569,2552],{"className":2553,"style":927},[926],[569,2555,762],{"className":2556},[612],[569,2558],{"className":2559,"style":927},[926],[569,2561,773],{"className":2562},[931],[569,2564],{"className":2565,"style":927},[926],[569,2567,2053],{"className":2568},[612],[569,2570,2572,2575],{"style":2571},"top:-2.8256em;",[569,2573],{"className":2574,"style":1222},[857],[569,2576,2580],{"className":2577,"style":2579},[2578],"hide-tail","min-width:0.853em;height:1.08em;",[1242,2581,2586],{"xmlns":1244,"width":2582,"height":2583,"viewBox":2584,"preserveAspectRatio":2585},"400em","1.08em","0 0 400000 1080","xMinYMin slice",[1251,2587],{"d":2588},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[569,2590,873],{"className":2591},[872],[569,2593,2595],{"className":2594},[845],[569,2596,2599],{"className":2597,"style":2598},[849],"height:0.1744em;",[569,2600],{},[569,2602],{"className":2603,"style":1138},[926],[569,2605,810],{"className":2606},[1142],[569,2608],{"className":2609,"style":1138},[926],[569,2611,2613,2616],{"className":2612},[603],[569,2614],{"className":2615,"style":1152},[607],[569,2617,795],{"className":2618},[612],", die HNF lautet ",[569,2621,2623,2675],{"className":2622},[572],[569,2624,2626],{"className":2625},[576],[578,2627,2628],{"xmlns":580},[582,2629,2630,2672],{},[585,2631,2632,2668,2670],{},[1301,2633,2634,2666],{},[585,2635,2636,2638,2644,2646,2652,2654,2656,2662,2664],{},[760,2637,780],{},[754,2639,2640,2642],{},[588,2641,767],{},[760,2643,762],{},[771,2645,804],{},[754,2647,2648,2650],{},[588,2649,767],{},[760,2651,780],{},[771,2653,773],{},[760,2655,780],{},[754,2657,2658,2660],{},[588,2659,767],{},[760,2661,795],{},[771,2663,773],{},[760,2665,795],{},[760,2667,795],{},[771,2669,810],{},[760,2671,813],{},[592,2673,2674],{"encoding":594},"\\frac{2x_1 - x_2 + 2x_3 + 3}{3} = 0",[569,2676,2678,2907],{"className":2677,"ariaHidden":599},[598],[569,2679,2681,2685,2898,2901,2904],{"className":2680},[603],[569,2682],{"className":2683,"style":2684},[607],"height:1.2062em;vertical-align:-0.345em;",[569,2686,2688,2691,2895],{"className":2687},[612],[569,2689],{"className":2690},[1417,1418],[569,2692,2694],{"className":2693},[1301],[569,2695,2697,2886],{"className":2696},[840,841],[569,2698,2700,2883],{"className":2699},[845],[569,2701,2704,2719,2727],{"className":2702,"style":2703},[849],"height:0.8612em;",[569,2705,2707,2710],{"style":2706},"top:-2.655em;",[569,2708],{"className":2709,"style":1222},[857],[569,2711,2713],{"className":2712},[862,863,864,865],[569,2714,2716],{"className":2715},[612,865],[569,2717,795],{"className":2718},[612,865],[569,2720,2721,2724],{"style":1484},[569,2722],{"className":2723,"style":1222},[857],[569,2725],{"className":2726,"style":1492},[1491],[569,2728,2730,2733],{"style":2729},"top:-3.4101em;",[569,2731],{"className":2732,"style":1222},[857],[569,2734,2736],{"className":2735},[862,863,864,865],[569,2737,2739,2742,2788,2791,2831,2834,2837,2877,2880],{"className":2738},[612,865],[569,2740,780],{"className":2741},[612,865],[569,2743,2745,2748],{"className":2744},[612,865],[569,2746,767],{"className":2747},[612,613,865],[569,2749,2751],{"className":2750},[836],[569,2752,2754,2779],{"className":2753},[840,841],[569,2755,2757,2776],{"className":2756},[845],[569,2758,2761],{"className":2759,"style":2760},[849],"height:0.3173em;",[569,2762,2764,2768],{"style":2763},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[569,2765],{"className":2766,"style":2767},[857],"height:2.5em;",[569,2769,2773],{"className":2770},[862,2771,2772,865],"reset-size3","size1",[569,2774,762],{"className":2775},[612,865],[569,2777,873],{"className":2778},[872],[569,2780,2782],{"className":2781},[845],[569,2783,2786],{"className":2784,"style":2785},[849],"height:0.143em;",[569,2787],{},[569,2789,804],{"className":2790},[931,865],[569,2792,2794,2797],{"className":2793},[612,865],[569,2795,767],{"className":2796},[612,613,865],[569,2798,2800],{"className":2799},[836],[569,2801,2803,2823],{"className":2802},[840,841],[569,2804,2806,2820],{"className":2805},[845],[569,2807,2809],{"className":2808,"style":2760},[849],[569,2810,2811,2814],{"style":2763},[569,2812],{"className":2813,"style":2767},[857],[569,2815,2817],{"className":2816},[862,2771,2772,865],[569,2818,780],{"className":2819},[612,865],[569,2821,873],{"className":2822},[872],[569,2824,2826],{"className":2825},[845],[569,2827,2829],{"className":2828,"style":2785},[849],[569,2830],{},[569,2832,773],{"className":2833},[931,865],[569,2835,780],{"className":2836},[612,865],[569,2838,2840,2843],{"className":2839},[612,865],[569,2841,767],{"className":2842},[612,613,865],[569,2844,2846],{"className":2845},[836],[569,2847,2849,2869],{"className":2848},[840,841],[569,2850,2852,2866],{"className":2851},[845],[569,2853,2855],{"className":2854,"style":2760},[849],[569,2856,2857,2860],{"style":2763},[569,2858],{"className":2859,"style":2767},[857],[569,2861,2863],{"className":2862},[862,2771,2772,865],[569,2864,795],{"className":2865},[612,865],[569,2867,873],{"className":2868},[872],[569,2870,2872],{"className":2871},[845],[569,2873,2875],{"className":2874,"style":2785},[849],[569,2876],{},[569,2878,773],{"className":2879},[931,865],[569,2881,795],{"className":2882},[612,865],[569,2884,873],{"className":2885},[872],[569,2887,2889],{"className":2888},[845],[569,2890,2893],{"className":2891,"style":2892},[849],"height:0.345em;",[569,2894],{},[569,2896],{"className":2897},[1787,1418],[569,2899],{"className":2900,"style":1138},[926],[569,2902,810],{"className":2903},[1142],[569,2905],{"className":2906,"style":1138},[926],[569,2908,2910,2913],{"className":2909},[603],[569,2911],{"className":2912,"style":1152},[607],[569,2914,813],{"className":2915},[612],[569,2917,2919],{"className":2918},[1265],[569,2920,2922,3001],{"className":2921},[572],[569,2923,2925],{"className":2924},[576],[578,2926,2927],{"xmlns":580,"display":1274},[582,2928,2929,2998],{},[585,2930,2931,2934,2937,2939,2941,2944,2946,2948,2950,2983,2985,2992,2995],{},[588,2932,2933],{"mathvariant":1174},"dist",[771,2935,2936],{},"⁡",[771,2938,2050],{"stretchy":2049},[588,2940,590],{},[771,2942,2943],{"separator":599},",",[588,2945,629],{},[771,2947,2065],{"stretchy":2049},[771,2949,810],{},[1301,2951,2952,2981],{},[585,2953,2954,2956,2958,2961,2963,2965,2967,2969,2971,2973,2975,2977,2979],{},[588,2955,1175],{"mathvariant":1174},[760,2957,780],{},[771,2959,2960],{},"⋅",[760,2962,2053],{},[771,2964,804],{},[760,2966,762],{},[771,2968,773],{},[760,2970,780],{},[771,2972,2960],{},[760,2974,2062],{},[771,2976,773],{},[760,2978,795],{},[588,2980,1175],{"mathvariant":1174},[760,2982,795],{},[771,2984,810],{},[1301,2986,2987,2990],{},[760,2988,2989],{},"20",[760,2991,795],{},[771,2993,2994],{},"≈",[760,2996,2997],{},"6,67",[592,2999,3000],{"encoding":594},"\\operatorname{dist}(Q, E) = \\frac{|2 \\cdot 4 - 1 + 2 \\cdot 5 + 3|}{3} = \\frac{20}{3} \\approx 6{,}67",[569,3002,3004,3045,3187,3266],{"className":3003,"ariaHidden":599},[598],[569,3005,3007,3010,3018,3021,3024,3027,3030,3033,3036,3039,3042],{"className":3006},[603],[569,3008],{"className":3009,"style":1198},[607],[569,3011,3014],{"className":3012},[3013],"mop",[569,3015,2933],{"className":3016},[612,3017],"mathrm",[569,3019,2050],{"className":3020},[1417],[569,3022,590],{"className":3023},[612,613],[569,3025,2943],{"className":3026},[1392],[569,3028],{"className":3029,"style":1400},[926],[569,3031,629],{"className":3032,"style":645},[612,613],[569,3034,2065],{"className":3035},[1787],[569,3037],{"className":3038,"style":1138},[926],[569,3040,810],{"className":3041},[1142],[569,3043],{"className":3044,"style":1138},[926],[569,3046,3048,3052,3178,3181,3184],{"className":3047},[603],[569,3049],{"className":3050,"style":3051},[607],"height:2.113em;vertical-align:-0.686em;",[569,3053,3055,3058,3175],{"className":3054},[612],[569,3056],{"className":3057},[1417,1418],[569,3059,3061],{"className":3060},[1301],[569,3062,3064,3166],{"className":3063},[840,841],[569,3065,3067,3163],{"className":3066},[845],[569,3068,3071,3082,3090],{"className":3069,"style":3070},[849],"height:1.427em;",[569,3072,3073,3076],{"style":1434},[569,3074],{"className":3075,"style":1222},[857],[569,3077,3079],{"className":3078},[612],[569,3080,795],{"className":3081},[612],[569,3083,3084,3087],{"style":1484},[569,3085],{"className":3086,"style":1222},[857],[569,3088],{"className":3089,"style":1492},[1491],[569,3091,3092,3095],{"style":1495},[569,3093],{"className":3094,"style":1222},[857],[569,3096,3098,3102,3105,3108,3111,3114,3117,3120,3123,3126,3129,3132,3135,3138,3141,3144,3147,3150,3153,3156,3159],{"className":3097},[612],[569,3099,3101],{"className":3100},[612],"∣2",[569,3103],{"className":3104,"style":927},[926],[569,3106,2960],{"className":3107},[931],[569,3109],{"className":3110,"style":927},[926],[569,3112,2053],{"className":3113},[612],[569,3115],{"className":3116,"style":927},[926],[569,3118,804],{"className":3119},[931],[569,3121],{"className":3122,"style":927},[926],[569,3124,762],{"className":3125},[612],[569,3127],{"className":3128,"style":927},[926],[569,3130,773],{"className":3131},[931],[569,3133],{"className":3134,"style":927},[926],[569,3136,780],{"className":3137},[612],[569,3139],{"className":3140,"style":927},[926],[569,3142,2960],{"className":3143},[931],[569,3145],{"className":3146,"style":927},[926],[569,3148,2062],{"className":3149},[612],[569,3151],{"className":3152,"style":927},[926],[569,3154,773],{"className":3155},[931],[569,3157],{"className":3158,"style":927},[926],[569,3160,3162],{"className":3161},[612],"3∣",[569,3164,873],{"className":3165},[872],[569,3167,3169],{"className":3168},[845],[569,3170,3173],{"className":3171,"style":3172},[849],"height:0.686em;",[569,3174],{},[569,3176],{"className":3177},[1787,1418],[569,3179],{"className":3180,"style":1138},[926],[569,3182,810],{"className":3183},[1142],[569,3185],{"className":3186,"style":1138},[926],[569,3188,3190,3194,3257,3260,3263],{"className":3189},[603],[569,3191],{"className":3192,"style":3193},[607],"height:2.0074em;vertical-align:-0.686em;",[569,3195,3197,3200,3254],{"className":3196},[612],[569,3198],{"className":3199},[1417,1418],[569,3201,3203],{"className":3202},[1301],[569,3204,3206,3246],{"className":3205},[840,841],[569,3207,3209,3243],{"className":3208},[845],[569,3210,3213,3224,3232],{"className":3211,"style":3212},[849],"height:1.3214em;",[569,3214,3215,3218],{"style":1434},[569,3216],{"className":3217,"style":1222},[857],[569,3219,3221],{"className":3220},[612],[569,3222,795],{"className":3223},[612],[569,3225,3226,3229],{"style":1484},[569,3227],{"className":3228,"style":1222},[857],[569,3230],{"className":3231,"style":1492},[1491],[569,3233,3234,3237],{"style":1495},[569,3235],{"className":3236,"style":1222},[857],[569,3238,3240],{"className":3239},[612],[569,3241,2989],{"className":3242},[612],[569,3244,873],{"className":3245},[872],[569,3247,3249],{"className":3248},[845],[569,3250,3252],{"className":3251,"style":3172},[849],[569,3253],{},[569,3255],{"className":3256},[1787,1418],[569,3258],{"className":3259,"style":1138},[926],[569,3261,2994],{"className":3262},[1142],[569,3264],{"className":3265,"style":1138},[926],[569,3267,3269,3273,3277,3283],{"className":3268},[603],[569,3270],{"className":3271,"style":3272},[607],"height:0.8389em;vertical-align:-0.1944em;",[569,3274,3276],{"className":3275},[612],"6",[569,3278,3280],{"className":3279},[612],[569,3281,2943],{"className":3282},[1392],[569,3284,3286],{"className":3285},[612],"67",[565,3288,2032,3289,2126,3378,3585,3586,3662,3663,1296],{},[569,3290,3292,3321],{"className":3291},[572],[569,3293,3295],{"className":3294},[576],[578,3296,3297],{"xmlns":580},[582,3298,3299,3318],{},[585,3300,3301,3303,3305,3307,3309,3312,3314,3316],{},[588,3302,590],{},[771,3304,2050],{"stretchy":2049},[760,3306,2062],{},[771,3308,1175],{},[760,3310,3311],{},"7",[771,3313,1175],{},[760,3315,2062],{},[771,3317,2065],{"stretchy":2049},[592,3319,3320],{"encoding":594},"Q(5 \\mid 7 \\mid 5)",[569,3322,3324,3348,3366],{"className":3323,"ariaHidden":599},[598],[569,3325,3327,3330,3333,3336,3339,3342,3345],{"className":3326},[603],[569,3328],{"className":3329,"style":1198},[607],[569,3331,590],{"className":3332},[612,613],[569,3334,2050],{"className":3335},[1417],[569,3337,2062],{"className":3338},[612],[569,3340],{"className":3341,"style":1138},[926],[569,3343,1175],{"className":3344},[1142],[569,3346],{"className":3347,"style":1138},[926],[569,3349,3351,3354,3357,3360,3363],{"className":3350},[603],[569,3352],{"className":3353,"style":1198},[607],[569,3355,3311],{"className":3356},[612],[569,3358],{"className":3359,"style":1138},[926],[569,3361,1175],{"className":3362},[1142],[569,3364],{"className":3365,"style":1138},[926],[569,3367,3369,3372,3375],{"className":3368},[603],[569,3370],{"className":3371,"style":1198},[607],[569,3373,2062],{"className":3374},[612],[569,3376,2065],{"className":3377},[1787],[569,3379,3381,3430],{"className":3380},[572],[569,3382,3384],{"className":3383},[576],[578,3385,3386],{"xmlns":580},[582,3387,3388,3427],{},[585,3389,3390,3392,3394,3396,3398,3400,3402,3404,3406,3412,3414,3416,3422,3424],{},[588,3391,629],{},[926,3393],{},[926,3395],{"width":1285},[771,3397],{"lspace":1288,"rspace":1289},[1291,3399,1293],{},[771,3401,1296],{"lspace":1288,"rspace":1288},[926,3403],{"width":1299},[760,3405,795],{},[754,3407,3408,3410],{},[588,3409,767],{},[760,3411,762],{},[771,3413,773],{},[760,3415,2053],{},[754,3417,3418,3420],{},[588,3419,767],{},[760,3421,795],{},[771,3423,810],{},[760,3425,3426],{},"10",[592,3428,3429],{"encoding":594},"E\\colon 3x_1 + 4x_3 = 10",[569,3431,3433,3518,3576],{"className":3432,"ariaHidden":599},[598],[569,3434,3436,3439,3442,3445,3448,3451,3454,3457,3463,3466,3469,3509,3512,3515],{"className":3435},[603],[569,3437],{"className":3438,"style":2197},[607],[569,3440,629],{"className":3441,"style":645},[612,613],[569,3443],{"className":3444},[926,1384],[569,3446],{"className":3447,"style":1388},[926],[569,3449],{"className":3450},[1392],[569,3452],{"className":3453,"style":1396},[926],[569,3455],{"className":3456,"style":1400},[926],[569,3458,3460],{"className":3459},[612],[569,3461,1296],{"className":3462},[1142],[569,3464],{"className":3465,"style":1410},[926],[569,3467,795],{"className":3468},[612],[569,3470,3472,3475],{"className":3471},[612],[569,3473,767],{"className":3474},[612,613],[569,3476,3478],{"className":3477},[836],[569,3479,3481,3501],{"className":3480},[840,841],[569,3482,3484,3498],{"className":3483},[845],[569,3485,3487],{"className":3486,"style":850},[849],[569,3488,3489,3492],{"style":853},[569,3490],{"className":3491,"style":858},[857],[569,3493,3495],{"className":3494},[862,863,864,865],[569,3496,762],{"className":3497},[612,865],[569,3499,873],{"className":3500},[872],[569,3502,3504],{"className":3503},[845],[569,3505,3507],{"className":3506,"style":880},[849],[569,3508],{},[569,3510],{"className":3511,"style":927},[926],[569,3513,773],{"className":3514},[931],[569,3516],{"className":3517,"style":927},[926],[569,3519,3521,3524,3527,3567,3570,3573],{"className":3520},[603],[569,3522],{"className":3523,"style":2338},[607],[569,3525,2053],{"className":3526},[612],[569,3528,3530,3533],{"className":3529},[612],[569,3531,767],{"className":3532},[612,613],[569,3534,3536],{"className":3535},[836],[569,3537,3539,3559],{"className":3538},[840,841],[569,3540,3542,3556],{"className":3541},[845],[569,3543,3545],{"className":3544,"style":850},[849],[569,3546,3547,3550],{"style":853},[569,3548],{"className":3549,"style":858},[857],[569,3551,3553],{"className":3552},[862,863,864,865],[569,3554,795],{"className":3555},[612,865],[569,3557,873],{"className":3558},[872],[569,3560,3562],{"className":3561},[845],[569,3563,3565],{"className":3564,"style":880},[849],[569,3566],{},[569,3568],{"className":3569,"style":1138},[926],[569,3571,810],{"className":3572},[1142],[569,3574],{"className":3575,"style":1138},[926],[569,3577,3579,3582],{"className":3578},[603],[569,3580],{"className":3581,"style":1152},[607],[569,3583,3426],{"className":3584},[612],". Der Normalenvektor ",[569,3587,3589,3620],{"className":3588},[572],[569,3590,3592],{"className":3591},[576],[578,3593,3594],{"xmlns":580},[582,3595,3596,3617],{},[585,3597,3598,3600,3602,3604,3607,3609,3611,3613,3615],{},[771,3599,2050],{"stretchy":2049},[760,3601,795],{},[771,3603,2943],{"separator":599},[1291,3605,3606],{}," ",[760,3608,813],{},[771,3610,2943],{"separator":599},[1291,3612,3606],{},[760,3614,2053],{},[771,3616,2065],{"stretchy":2049},[592,3618,3619],{"encoding":594},"(3,\\ 0,\\ 4)",[569,3621,3623],{"className":3622,"ariaHidden":599},[598],[569,3624,3626,3629,3632,3635,3638,3641,3644,3647,3650,3653,3656,3659],{"className":3625},[603],[569,3627],{"className":3628,"style":1198},[607],[569,3630,2050],{"className":3631},[1417],[569,3633,795],{"className":3634},[612],[569,3636,2943],{"className":3637},[1392],[569,3639,3606],{"className":3640},[926],[569,3642],{"className":3643,"style":1400},[926],[569,3645,813],{"className":3646},[612],[569,3648,2943],{"className":3649},[1392],[569,3651,3606],{"className":3652},[926],[569,3654],{"className":3655,"style":1400},[926],[569,3657,2053],{"className":3658},[612],[569,3660,2065],{"className":3661},[1787]," hat die Länge ",[569,3664,3666,3679],{"className":3665},[572],[569,3667,3669],{"className":3668},[576],[578,3670,3671],{"xmlns":580},[582,3672,3673,3677],{},[585,3674,3675],{},[760,3676,2062],{},[592,3678,2062],{"encoding":594},[569,3680,3682],{"className":3681,"ariaHidden":599},[598],[569,3683,3685,3688],{"className":3684},[603],[569,3686],{"className":3687,"style":1152},[607],[569,3689,2062],{"className":3690},[612],[569,3692,3694],{"className":3693},[1265],[569,3695,3697,3766],{"className":3696},[572],[569,3698,3700],{"className":3699},[576],[578,3701,3702],{"xmlns":580,"display":1274},[582,3703,3704,3763],{},[585,3705,3706,3708,3710,3712,3714,3716,3718,3720,3722,3750,3752,3759,3761],{},[588,3707,2933],{"mathvariant":1174},[771,3709,2936],{},[771,3711,2050],{"stretchy":2049},[588,3713,590],{},[771,3715,2943],{"separator":599},[588,3717,629],{},[771,3719,2065],{"stretchy":2049},[771,3721,810],{},[1301,3723,3724,3748],{},[585,3725,3726,3728,3730,3732,3734,3736,3738,3740,3742,3744,3746],{},[588,3727,1175],{"mathvariant":1174},[760,3729,795],{},[771,3731,2960],{},[760,3733,2062],{},[771,3735,773],{},[760,3737,2053],{},[771,3739,2960],{},[760,3741,2062],{},[771,3743,804],{},[760,3745,3426],{},[588,3747,1175],{"mathvariant":1174},[760,3749,2062],{},[771,3751,810],{},[1301,3753,3754,3757],{},[760,3755,3756],{},"25",[760,3758,2062],{},[771,3760,810],{},[760,3762,2062],{},[592,3764,3765],{"encoding":594},"\\operatorname{dist}(Q, E) = \\frac{|3 \\cdot 5 + 4 \\cdot 5 - 10|}{5} = \\frac{25}{5} = 5",[569,3767,3769,3808,3935,4012],{"className":3768,"ariaHidden":599},[598],[569,3770,3772,3775,3781,3784,3787,3790,3793,3796,3799,3802,3805],{"className":3771},[603],[569,3773],{"className":3774,"style":1198},[607],[569,3776,3778],{"className":3777},[3013],[569,3779,2933],{"className":3780},[612,3017],[569,3782,2050],{"className":3783},[1417],[569,3785,590],{"className":3786},[612,613],[569,3788,2943],{"className":3789},[1392],[569,3791],{"className":3792,"style":1400},[926],[569,3794,629],{"className":3795,"style":645},[612,613],[569,3797,2065],{"className":3798},[1787],[569,3800],{"className":3801,"style":1138},[926],[569,3803,810],{"className":3804},[1142],[569,3806],{"className":3807,"style":1138},[926],[569,3809,3811,3814,3926,3929,3932],{"className":3810},[603],[569,3812],{"className":3813,"style":3051},[607],[569,3815,3817,3820,3923],{"className":3816},[612],[569,3818],{"className":3819},[1417,1418],[569,3821,3823],{"className":3822},[1301],[569,3824,3826,3915],{"className":3825},[840,841],[569,3827,3829,3912],{"className":3828},[845],[569,3830,3832,3843,3851],{"className":3831,"style":3070},[849],[569,3833,3834,3837],{"style":1434},[569,3835],{"className":3836,"style":1222},[857],[569,3838,3840],{"className":3839},[612],[569,3841,2062],{"className":3842},[612],[569,3844,3845,3848],{"style":1484},[569,3846],{"className":3847,"style":1222},[857],[569,3849],{"className":3850,"style":1492},[1491],[569,3852,3853,3856],{"style":1495},[569,3854],{"className":3855,"style":1222},[857],[569,3857,3859,3863,3866,3869,3872,3875,3878,3881,3884,3887,3890,3893,3896,3899,3902,3905,3908],{"className":3858},[612],[569,3860,3862],{"className":3861},[612],"∣3",[569,3864],{"className":3865,"style":927},[926],[569,3867,2960],{"className":3868},[931],[569,3870],{"className":3871,"style":927},[926],[569,3873,2062],{"className":3874},[612],[569,3876],{"className":3877,"style":927},[926],[569,3879,773],{"className":3880},[931],[569,3882],{"className":3883,"style":927},[926],[569,3885,2053],{"className":3886},[612],[569,3888],{"className":3889,"style":927},[926],[569,3891,2960],{"className":3892},[931],[569,3894],{"className":3895,"style":927},[926],[569,3897,2062],{"className":3898},[612],[569,3900],{"className":3901,"style":927},[926],[569,3903,804],{"className":3904},[931],[569,3906],{"className":3907,"style":927},[926],[569,3909,3911],{"className":3910},[612],"10∣",[569,3913,873],{"className":3914},[872],[569,3916,3918],{"className":3917},[845],[569,3919,3921],{"className":3920,"style":3172},[849],[569,3922],{},[569,3924],{"className":3925},[1787,1418],[569,3927],{"className":3928,"style":1138},[926],[569,3930,810],{"className":3931},[1142],[569,3933],{"className":3934,"style":1138},[926],[569,3936,3938,3941,4003,4006,4009],{"className":3937},[603],[569,3939],{"className":3940,"style":3193},[607],[569,3942,3944,3947,4000],{"className":3943},[612],[569,3945],{"className":3946},[1417,1418],[569,3948,3950],{"className":3949},[1301],[569,3951,3953,3992],{"className":3952},[840,841],[569,3954,3956,3989],{"className":3955},[845],[569,3957,3959,3970,3978],{"className":3958,"style":3212},[849],[569,3960,3961,3964],{"style":1434},[569,3962],{"className":3963,"style":1222},[857],[569,3965,3967],{"className":3966},[612],[569,3968,2062],{"className":3969},[612],[569,3971,3972,3975],{"style":1484},[569,3973],{"className":3974,"style":1222},[857],[569,3976],{"className":3977,"style":1492},[1491],[569,3979,3980,3983],{"style":1495},[569,3981],{"className":3982,"style":1222},[857],[569,3984,3986],{"className":3985},[612],[569,3987,3756],{"className":3988},[612],[569,3990,873],{"className":3991},[872],[569,3993,3995],{"className":3994},[845],[569,3996,3998],{"className":3997,"style":3172},[849],[569,3999],{},[569,4001],{"className":4002},[1787,1418],[569,4004],{"className":4005,"style":1138},[926],[569,4007,810],{"className":4008},[1142],[569,4010],{"className":4011,"style":1138},[926],[569,4013,4015,4018],{"className":4014},[603],[569,4016],{"className":4017,"style":1152},[607],[569,4019,2062],{"className":4020},[612],[560,4022,4024],{"id":4023},"typische-fehler","Typische Fehler",[4026,4027,4028,4237,4354,4357],"ul",{},[738,4029,4030,4031,4105,4106,4134,4135,4236],{},"Nicht durch ",[569,4032,4034,4055],{"className":4033},[572],[569,4035,4037],{"className":4036},[576],[578,4038,4039],{"xmlns":580},[582,4040,4041,4053],{},[585,4042,4043,4045,4051],{},[588,4044,1175],{"mathvariant":1174},[1177,4046,4047,4049],{"accent":599},[588,4048,758],{},[771,4050,1183],{},[588,4052,1175],{"mathvariant":1174},[592,4054,1188],{"encoding":594},[569,4056,4058],{"className":4057,"ariaHidden":599},[598],[569,4059,4061,4064,4067,4102],{"className":4060},[603],[569,4062],{"className":4063,"style":1198},[607],[569,4065,1175],{"className":4066},[612],[569,4068,4070],{"className":4069},[612,1205],[569,4071,4073],{"className":4072},[840],[569,4074,4076],{"className":4075},[845],[569,4077,4079,4087],{"className":4078,"style":1215},[849],[569,4080,4081,4084],{"style":1218},[569,4082],{"className":4083,"style":1222},[857],[569,4085,758],{"className":4086},[612,613],[569,4088,4089,4092],{"style":1218},[569,4090],{"className":4091,"style":1222},[857],[569,4093,4095],{"className":4094,"style":1235},[1234],[569,4096,4098],{"className":4097,"style":1240},[1239],[1242,4099,4100],{"xmlns":1244,"width":1245,"height":1246,"style":1247,"viewBox":1248,"preserveAspectRatio":1249},[1251,4101],{"d":1253},[569,4103,1175],{"className":4104},[612]," teilen. Im ersten Beispiel käme ",[569,4107,4109,4122],{"className":4108},[572],[569,4110,4112],{"className":4111},[576],[578,4113,4114],{"xmlns":580},[582,4115,4116,4120],{},[585,4117,4118],{},[760,4119,2989],{},[592,4121,2989],{"encoding":594},[569,4123,4125],{"className":4124,"ariaHidden":599},[598],[569,4126,4128,4131],{"className":4127},[603],[569,4129],{"className":4130,"style":1152},[607],[569,4132,2989],{"className":4133},[612]," statt ",[569,4136,4138,4156],{"className":4137},[572],[569,4139,4141],{"className":4140},[576],[578,4142,4143],{"xmlns":580},[582,4144,4145,4153],{},[585,4146,4147],{},[1301,4148,4149,4151],{},[760,4150,2989],{},[760,4152,795],{},[592,4154,4155],{"encoding":594},"\\frac{20}{3}",[569,4157,4159],{"className":4158,"ariaHidden":599},[598],[569,4160,4162,4166],{"className":4161},[603],[569,4163],{"className":4164,"style":4165},[607],"height:1.1901em;vertical-align:-0.345em;",[569,4167,4169,4172,4233],{"className":4168},[612],[569,4170],{"className":4171},[1417,1418],[569,4173,4175],{"className":4174},[1301],[569,4176,4178,4225],{"className":4177},[840,841],[569,4179,4181,4222],{"className":4180},[845],[569,4182,4185,4199,4207],{"className":4183,"style":4184},[849],"height:0.8451em;",[569,4186,4187,4190],{"style":2706},[569,4188],{"className":4189,"style":1222},[857],[569,4191,4193],{"className":4192},[862,863,864,865],[569,4194,4196],{"className":4195},[612,865],[569,4197,795],{"className":4198},[612,865],[569,4200,4201,4204],{"style":1484},[569,4202],{"className":4203,"style":1222},[857],[569,4205],{"className":4206,"style":1492},[1491],[569,4208,4210,4213],{"style":4209},"top:-3.394em;",[569,4211],{"className":4212,"style":1222},[857],[569,4214,4216],{"className":4215},[862,863,864,865],[569,4217,4219],{"className":4218},[612,865],[569,4220,2989],{"className":4221},[612,865],[569,4223,873],{"className":4224},[872],[569,4226,4228],{"className":4227},[845],[569,4229,4231],{"className":4230,"style":2892},[849],[569,4232],{},[569,4234],{"className":4235},[1787,1418]," heraus.",[738,4238,4239,4240,4268,4269,4318,4319,4353],{},"Das Vorzeichen von ",[569,4241,4243,4256],{"className":4242},[572],[569,4244,4246],{"className":4245},[576],[578,4247,4248],{"xmlns":580},[582,4249,4250,4254],{},[585,4251,4252],{},[588,4253,807],{},[592,4255,807],{"encoding":594},[569,4257,4259],{"className":4258,"ariaHidden":599},[598],[569,4260,4262,4265],{"className":4261},[603],[569,4263],{"className":4264,"style":1131},[607],[569,4266,807],{"className":4267},[612,613]," beim Umstellen falsch übernehmen: Aus ",[569,4270,4272,4290],{"className":4271},[572],[569,4273,4275],{"className":4274},[576],[578,4276,4277],{"xmlns":580},[582,4278,4279,4287],{},[585,4280,4281,4283,4285],{},[771,4282,810],{},[771,4284,804],{},[760,4286,795],{},[592,4288,4289],{"encoding":594},"= -3",[569,4291,4293,4306],{"className":4292,"ariaHidden":599},[598],[569,4294,4296,4300,4303],{"className":4295},[603],[569,4297],{"className":4298,"style":4299},[607],"height:0.3669em;",[569,4301,810],{"className":4302},[1142],[569,4304],{"className":4305,"style":1138},[926],[569,4307,4309,4312,4315],{"className":4308},[603],[569,4310],{"className":4311,"style":2397},[607],[569,4313,804],{"className":4314},[612],[569,4316,795],{"className":4317},[612]," wird ",[569,4320,4322,4338],{"className":4321},[572],[569,4323,4325],{"className":4324},[576],[578,4326,4327],{"xmlns":580},[582,4328,4329,4335],{},[585,4330,4331,4333],{},[771,4332,773],{},[760,4334,795],{},[592,4336,4337],{"encoding":594},"+3",[569,4339,4341],{"className":4340,"ariaHidden":599},[598],[569,4342,4344,4347,4350],{"className":4343},[603],[569,4345],{"className":4346,"style":2397},[607],[569,4348,773],{"className":4349},[612],[569,4351,795],{"className":4352},[612]," auf der linken Seite.",[738,4355,4356],{},"Den Betrag vergessen und einen negativen Abstand angeben.",[738,4358,4359,4360,4525,4526,4619,4620,1156],{},"Fehlende Variablen falsch behandeln: Bei ",[569,4361,4363,4397],{"className":4362},[572],[569,4364,4366],{"className":4365},[576],[578,4367,4368],{"xmlns":580},[582,4369,4370,4394],{},[585,4371,4372,4374,4380,4382,4384,4390,4392],{},[760,4373,795],{},[754,4375,4376,4378],{},[588,4377,767],{},[760,4379,762],{},[771,4381,773],{},[760,4383,2053],{},[754,4385,4386,4388],{},[588,4387,767],{},[760,4389,795],{},[771,4391,810],{},[760,4393,3426],{},[592,4395,4396],{"encoding":594},"3x_1 + 4x_3 = 10",[569,4398,4400,4458,4516],{"className":4399,"ariaHidden":599},[598],[569,4401,4403,4406,4409,4449,4452,4455],{"className":4402},[603],[569,4404],{"className":4405,"style":2338},[607],[569,4407,795],{"className":4408},[612],[569,4410,4412,4415],{"className":4411},[612],[569,4413,767],{"className":4414},[612,613],[569,4416,4418],{"className":4417},[836],[569,4419,4421,4441],{"className":4420},[840,841],[569,4422,4424,4438],{"className":4423},[845],[569,4425,4427],{"className":4426,"style":850},[849],[569,4428,4429,4432],{"style":853},[569,4430],{"className":4431,"style":858},[857],[569,4433,4435],{"className":4434},[862,863,864,865],[569,4436,762],{"className":4437},[612,865],[569,4439,873],{"className":4440},[872],[569,4442,4444],{"className":4443},[845],[569,4445,4447],{"className":4446,"style":880},[849],[569,4448],{},[569,4450],{"className":4451,"style":927},[926],[569,4453,773],{"className":4454},[931],[569,4456],{"className":4457,"style":927},[926],[569,4459,4461,4464,4467,4507,4510,4513],{"className":4460},[603],[569,4462],{"className":4463,"style":2338},[607],[569,4465,2053],{"className":4466},[612],[569,4468,4470,4473],{"className":4469},[612],[569,4471,767],{"className":4472},[612,613],[569,4474,4476],{"className":4475},[836],[569,4477,4479,4499],{"className":4478},[840,841],[569,4480,4482,4496],{"className":4481},[845],[569,4483,4485],{"className":4484,"style":850},[849],[569,4486,4487,4490],{"style":853},[569,4488],{"className":4489,"style":858},[857],[569,4491,4493],{"className":4492},[862,863,864,865],[569,4494,795],{"className":4495},[612,865],[569,4497,873],{"className":4498},[872],[569,4500,4502],{"className":4501},[845],[569,4503,4505],{"className":4504,"style":880},[849],[569,4506],{},[569,4508],{"className":4509,"style":1138},[926],[569,4511,810],{"className":4512},[1142],[569,4514],{"className":4515,"style":1138},[926],[569,4517,4519,4522],{"className":4518},[603],[569,4520],{"className":4521,"style":1152},[607],[569,4523,3426],{"className":4524},[612]," ist ",[569,4527,4529,4551],{"className":4528},[572],[569,4530,4532],{"className":4531},[576],[578,4533,4534],{"xmlns":580},[582,4535,4536,4548],{},[585,4537,4538,4544,4546],{},[754,4539,4540,4542],{},[588,4541,758],{},[760,4543,780],{},[771,4545,810],{},[760,4547,813],{},[592,4549,4550],{"encoding":594},"n_2 = 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und ",[569,4621,4623,4663],{"className":4622},[572],[569,4624,4626],{"className":4625},[576],[578,4627,4628],{"xmlns":580},[582,4629,4630,4660],{},[585,4631,4632,4634,4640,4642,4644,4656,4658],{},[588,4633,1175],{"mathvariant":1174},[1177,4635,4636,4638],{"accent":599},[588,4637,758],{},[771,4639,1183],{},[588,4641,1175],{"mathvariant":1174},[771,4643,810],{},[2430,4645,4646],{},[585,4647,4648,4651,4653],{},[760,4649,4650],{},"9",[771,4652,773],{},[760,4654,4655],{},"16",[771,4657,810],{},[760,4659,2062],{},[592,4661,4662],{"encoding":594},"|\\vec{n}| = \\sqrt{9 + 16} = 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mathvariant=\"normal\">∣\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmsqrt>\u003Cmrow>\u003Cmsubsup>\u003Cmi>n\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsubsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmsubsup>\u003Cmi>n\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsubsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmsubsup>\u003Cmi>n\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsubsup>\u003C\u002Fmrow>\u003C\u002Fmsqrt>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\operatorname{dist}(Q, E) = \\frac{|n_1 q_1 + n_2 q_2 + n_3 q_3 - d|}{\\sqrt{n_1^2 + n_2^2 + n_3^2}}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">\u003Cspan class=\"mord 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