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dritte Koordinate ist ",[572,2486,2488,2501],{"className":2487},[575],[572,2489,2491],{"className":2490},[579],[581,2492,2493],{"xmlns":583},[585,2494,2495,2499],{},[588,2496,2497],{},[1006,2498,1114],{},[608,2500,1114],{"encoding":610},[572,2502,2504],{"className":2503,"ariaHidden":593},[615],[572,2505,2507,2511],{"className":2506},[619],[572,2508],{"className":2509,"style":2510},[623],"height:0.6444em;",[572,2512,1114],{"className":2513},[628],": ",[572,2516,2518,2531],{"className":2517},[575],[572,2519,2521],{"className":2520},[579],[581,2522,2523],{"xmlns":583},[585,2524,2525,2529],{},[588,2526,2527],{},[597,2528,1759],{},[608,2530,1759],{"encoding":610},[572,2532,2534],{"className":2533,"ariaHidden":593},[615],[572,2535,2537,2540],{"className":2536},[619],[572,2538],{"className":2539,"style":712},[623],[572,2541,1759],{"className":2542,"style":1792},[628,656]," und 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",[572,2586,2588,2617],{"className":2587},[575],[572,2589,2591],{"className":2590},[579],[581,2592,2593],{"xmlns":583},[585,2594,2595,2614],{},[588,2596,2597,2605,2607],{},[591,2598,2599,2602],{"accent":593},[597,2600,2601],{},"a",[604,2603,2604],{},"⃗",[604,2606,857],{},[591,2608,2609,2612],{"accent":593},[597,2610,2611],{},"b",[604,2613,2604],{},[608,2615,2616],{"encoding":610},"\\vec{a} - \\vec{b}",[572,2618,2620,2682],{"className":2619,"ariaHidden":593},[615],[572,2621,2623,2627,2673,2676,2679],{"className":2622},[619],[572,2624],{"className":2625,"style":2626},[623],"height:0.7973em;vertical-align:-0.0833em;",[572,2628,2630],{"className":2629},[628,629],[572,2631,2633],{"className":2632},[633],[572,2634,2636],{"className":2635},[637],[572,2637,2640,2648],{"className":2638,"style":2639},[641],"height:0.714em;",[572,2641,2642,2645],{"style":644},[572,2643],{"className":2644,"style":649},[648],[572,2646,2601],{"className":2647},[628,656],[572,2649,2650,2653],{"style":644},[572,2651],{"className":2652,"style":649},[648],[572,2654,2658],{"className":2655,"style":2657},[2656],"accent-body","left:-0.2355em;",[572,2659,2663],{"className":2660,"style":2662},[2661],"overlay","height:0.714em;width:0.471em;",[675,2664,2670],{"xmlns":677,"width":2665,"height":2666,"style":2667,"viewBox":2668,"preserveAspectRatio":2669},"0.471em","0.714em","width:0.471em","0 0 471 714","xMinYMin",[683,2671],{"d":2672},"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",[572,2674],{"className":2675,"style":1469},[922],[572,2677,857],{"className":2678},[1473],[572,2680],{"className":2681,"style":1469},[922],[572,2683,2685,2689],{"className":2684},[619],[572,2686],{"className":2687,"style":2688},[623],"height:0.9774em;",[572,2690,2692],{"className":2691},[628,629],[572,2693,2695],{"className":2694},[633],[572,2696,2698],{"className":2697},[637],[572,2699,2701,2709],{"className":2700,"style":2688},[641],[572,2702,2703,2706],{"style":644},[572,2704],{"className":2705,"style":649},[648],[572,2707,2611],{"className":2708},[628,656],[572,2710,2712,2715],{"style":2711},"top:-3.2634em;",[572,2713],{"className":2714,"style":649},[648],[572,2716,2718],{"className":2717,"style":2657},[2656],[572,2719,2721],{"className":2720,"style":2662},[2661],[675,2722,2723],{"xmlns":677,"width":2665,"height":2666,"style":2667,"viewBox":2668,"preserveAspectRatio":2669},[683,2724],{"d":2672}," ergibt ",[572,2727,2729,2750],{"className":2728},[575],[572,2730,2732],{"className":2731},[579],[581,2733,2734],{"xmlns":583},[585,2735,2736,2748],{},[588,2737,2738],{},[591,2739,2740,2746],{"accent":593},[588,2741,2742,2744],{},[597,2743,602],{},[597,2745,599],{},[604,2747,606],{"stretchy":593},[608,2749,780],{"encoding":610},[572,2751,2753],{"className":2752,"ariaHidden":593},[615],[572,2754,2756,2759],{"className":2755},[619],[572,2757],{"className":2758,"style":624},[623],[572,2760,2762],{"className":2761},[628,629],[572,2763,2765],{"className":2764},[633],[572,2766,2768],{"className":2767},[637],[572,2769,2771,2785],{"className":2770,"style":624},[641],[572,2772,2773,2776],{"style":644},[572,2774],{"className":2775,"style":649},[648],[572,2777,2779,2782],{"className":2778},[628],[572,2780,602],{"className":2781,"style":660},[628,656],[572,2783,599],{"className":2784},[628,656],[572,2786,2788,2791],{"className":2787,"style":665},[664],[572,2789],{"className":2790,"style":649},[648],[572,2792,2794],{"className":2793,"style":673},[672],[675,2795,2796],{"xmlns":677,"width":678,"height":679,"viewBox":680,"preserveAspectRatio":681},[683,2797],{"d":685},", also den Pfeil in Gegenrichtung.",[2582,2800,2801,2802,2891,2892,749],{},"Vorzeichenfehler bei negativen Koordinaten: ",[572,2803,2805,2833],{"className":2804},[575],[572,2806,2808],{"className":2807},[579],[581,2809,2810],{"xmlns":583},[585,2811,2812,2830],{},[588,2813,2814,2816,2818,2820,2822,2824,2826,2828],{},[1006,2815,1119],{},[604,2817,857],{},[604,2819,1004],{"stretchy":1003},[604,2821,857],{},[1006,2823,1008],{},[604,2825,1023],{"stretchy":1003},[604,2827,854],{},[1006,2829,1109],{},[608,2831,2832],{"encoding":610},"3 - (-1) = 4",[572,2834,2836,2855,2882],{"className":2835,"ariaHidden":593},[615],[572,2837,2839,2843,2846,2849,2852],{"className":2838},[619],[572,2840],{"className":2841,"style":2842},[623],"height:0.7278em;vertical-align:-0.0833em;",[572,2844,1119],{"className":2845},[628],[572,2847],{"className":2848,"style":1469},[922],[572,2850,857],{"className":2851},[1473],[572,2853],{"className":2854,"style":1469},[922],[572,2856,2858,2861,2864,2867,2870,2873,2876,2879],{"className":2857},[619],[572,2859],{"className":2860,"style":1036},[623],[572,2862,1004],{"className":2863},[1043],[572,2865,857],{"className":2866},[628],[572,2868,1008],{"className":2869},[628],[572,2871,1023],{"className":2872},[1089],[572,2874],{"className":2875,"style":923},[922],[572,2877,854],{"className":2878},[927],[572,2880],{"className":2881,"style":923},[922],[572,2883,2885,2888],{"className":2884},[619],[572,2886],{"className":2887,"style":2510},[623],[572,2889,1109],{"className":2890},[628],", nicht ",[572,2893,2895,2908],{"className":2894},[575],[572,2896,2898],{"className":2897},[579],[581,2899,2900],{"xmlns":583},[585,2901,2902,2906],{},[588,2903,2904],{},[1006,2905,1014],{},[608,2907,1014],{"encoding":610},[572,2909,2911],{"className":2910,"ariaHidden":593},[615],[572,2912,2914,2917],{"className":2913},[619],[572,2915],{"className":2916,"style":2510},[623],[572,2918,1014],{"className":2919},[628],[2582,2921,2922,2923,3047,3048,1090,3076,3104],{},"Die Koordinaten addieren statt subtrahieren. ",[572,2924,2926,2953],{"className":2925},[575],[572,2927,2929],{"className":2928},[579],[581,2930,2931],{"xmlns":583},[585,2932,2933,2950],{},[588,2934,2935,2941,2944],{},[591,2936,2937,2939],{"accent":593},[597,2938,2601],{},[604,2940,2604],{},[604,2942,2943],{},"+",[591,2945,2946,2948],{"accent":593},[597,2947,2611],{},[604,2949,2604],{},[608,2951,2952],{"encoding":610},"\\vec{a} + \\vec{b}",[572,2954,2956,3006],{"className":2955,"ariaHidden":593},[615],[572,2957,2959,2962,2997,3000,3003],{"className":2958},[619],[572,2960],{"className":2961,"style":2626},[623],[572,2963,2965],{"className":2964},[628,629],[572,2966,2968],{"className":2967},[633],[572,2969,2971],{"className":2970},[637],[572,2972,2974,2982],{"className":2973,"style":2639},[641],[572,2975,2976,2979],{"style":644},[572,2977],{"className":2978,"style":649},[648],[572,2980,2601],{"className":2981},[628,656],[572,2983,2984,2987],{"style":644},[572,2985],{"className":2986,"style":649},[648],[572,2988,2990],{"className":2989,"style":2657},[2656],[572,2991,2993],{"className":2992,"style":2662},[2661],[675,2994,2995],{"xmlns":677,"width":2665,"height":2666,"style":2667,"viewBox":2668,"preserveAspectRatio":2669},[683,2996],{"d":2672},[572,2998],{"className":2999,"style":1469},[922],[572,3001,2943],{"className":3002},[1473],[572,3004],{"className":3005,"style":1469},[922],[572,3007,3009,3012],{"className":3008},[619],[572,3010],{"className":3011,"style":2688},[623],[572,3013,3015],{"className":3014},[628,629],[572,3016,3018],{"className":3017},[633],[572,3019,3021],{"className":3020},[637],[572,3022,3024,3032],{"className":3023,"style":2688},[641],[572,3025,3026,3029],{"style":644},[572,3027],{"className":3028,"style":649},[648],[572,3030,2611],{"className":3031},[628,656],[572,3033,3034,3037],{"style":2711},[572,3035],{"className":3036,"style":649},[648],[572,3038,3040],{"className":3039,"style":2657},[2656],[572,3041,3043],{"className":3042,"style":2662},[2661],[675,3044,3045],{"xmlns":677,"width":2665,"height":2666,"style":2667,"viewBox":2668,"preserveAspectRatio":2669},[683,3046],{"d":2672}," hat mit der Strecke von ",[572,3049,3051,3064],{"className":3050},[575],[572,3052,3054],{"className":3053},[579],[581,3055,3056],{"xmlns":583},[585,3057,3058,3062],{},[588,3059,3060],{},[597,3061,599],{},[608,3063,599],{"encoding":610},[572,3065,3067],{"className":3066,"ariaHidden":593},[615],[572,3068,3070,3073],{"className":3069},[619],[572,3071],{"className":3072,"style":712},[623],[572,3074,599],{"className":3075},[628,656],[572,3077,3079,3092],{"className":3078},[575],[572,3080,3082],{"className":3081},[579],[581,3083,3084],{"xmlns":583},[585,3085,3086,3090],{},[588,3087,3088],{},[597,3089,602],{},[608,3091,602],{"encoding":610},[572,3093,3095],{"className":3094,"ariaHidden":593},[615],[572,3096,3098,3101],{"className":3097},[619],[572,3099],{"className":3100,"style":712},[623],[572,3102,602],{"className":3103,"style":660},[628,656]," nichts zu tun.",{"title":3106,"searchDepth":3107,"depth":3107,"links":3108},"",2,[3109,3110,3111],{"id":561,"depth":3107,"text":562},{"id":982,"depth":3107,"text":983},{"id":2576,"depth":3107,"text":2577},[3113,3115,3118,3120,3123,3125,3128,3130],{"lhs":3114,"rhs":1114},"(b1 - a1) + (a1 - b1)",{"lhs":3116,"rhs":3117},"(c1 - a1) + (b1 - c1)","b1 - a1",{"lhs":3119,"rhs":1119},"4 - 1",{"lhs":3121,"rhs":3122},"0 - 2","-2",{"lhs":3124,"rhs":1109},"3 - (-1)",{"lhs":3126,"rhs":3127},"-1 - 2","-3",{"lhs":3129,"rhs":2048},"4 - (-3)",{"lhs":3131,"rhs":1114},"5 - 5",null,"md","vector-between-points","\\overrightarrow{AB} = \\vec{b} - \\vec{a} = \\begin{pmatrix} b_1 - a_1 \\\\ b_2 - a_2 \\\\ b_3 - a_3 \\end{pmatrix}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmo stretchy=\"true\">→\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>b\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>−\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>a\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo>=\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmtable rowspacing=\"0.16em\" columnalign=\"center\" columnspacing=\"1em\">\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmsub>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003C\u002Fmtable>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\overrightarrow{AB} = \\vec{b} - \\vec{a} = \\begin{pmatrix} b_1 - a_1 \\\\ b_2 - a_2 \\\\ b_3 - a_3 \\end{pmatrix}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" 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xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmo stretchy=\"true\">→\u003C\u002Fmo>\u003C\u002Fmover>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\overrightarrow{AB}\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:1.2053em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.2053em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" 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