[size=150]두 벡터 [math]\large \overrightarrow{a}[/math], [math]\large \overrightarrow{b}[/math]에 대하여 [math]\large \overrightarrow{b}+\overrightarrow{x}=\overrightarrow{a}[/math]를 만족시키는 벡터 [math]\large \overrightarrow{x}[/math]를 [math]\large \overrightarrow{a}[/math]에서 [math]\large \overrightarrow{b}[/math]를 뺀 차라 하며, 기호로[br] [math]\large \overrightarrow{x}=\overrightarrow{a}-\overrightarrow{b}[/math][br]와 같이 나타낸다.[/size]
[size=150]아래 지오지브라 애플릿에서 버튼을 눌러 벡터의 뺄셈에 대하여 알아보세요.[/size]
[size=150]아래 애플릿을 이용하여 벡터의 덧셈 문제를 해결해 보세요.[br][list][*]흰 점을 옮겨 벡터 [math]\large\overrightarrow{a}[/math], [math]\large\overrightarrow{b}[/math][color=#ff0000](빨간색 벡터)[/color]를 옮길 수 있습니다.[/*][*]벡터 [math]\large\overrightarrow{c}[/math][color=#0000ff](파란색 벡터)[/color]가 [math]\large\overrightarrow{a}-\overrightarrow{b}[/math]가 되도록 두 개의 노란색 점을 옮긴 후, [b]확인[/b] 체크 상자를 눌러보세요.[/*][*][b][color=#9900ff][새로운 문제][/color][/b] 버튼을 누르면 다른 문제가 제시됩니다.[/*][/list][/size]
[size=150]그림과 같이 두 벡터 [math]\large \overrightarrow{a}[/math], [math]\large \overrightarrow{b}[/math]에 대하여[br] [math]\large \overrightarrow{a}=\overrightarrow{\mathrm{OA}}, \; \overrightarrow{b}=\overrightarrow{\mathrm{OB}}[/math][br]가 되도록 세 점 [math]\large \mathrm{O}, \; \mathrm{A}, \; \mathrm{B}[/math]를 잡으면 [math]\large \overrightarrow{b}+\overrightarrow{\mathrm{BA}}=\overrightarrow{a}[/math]이므로[br] [math]\large \overrightarrow{a}-\overrightarrow{b}=\overrightarrow{\mathrm{BA}}[/math], 즉 [math]\large \overrightarrow{\mathrm{OA}}-\overrightarrow{\mathrm{OB}}=\overrightarrow{\mathrm{BA}}[/math][br]이다.[br][/size][img]data:image/png;base64,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[/img] 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[/img]