과제1: 수선의 발의 좌표

문제해결
[size=150][b]점 [math]\large \mathrm{A}(8,\,7)[/math]에서 원점 [math]\large \mathrm{O}[/math]와 점 [math]\large \mathrm{B}(-3,\,1)[/math]을 지나는 직선 [math]\large \mathrm{OB}[/math]에 내린 수선의 발 [math]\large\mathrm{H}[/math]의 좌표를 구하고, 그 과정을 설명해 보세요.[/b][/size][br][center][img]data:image/png;base64,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[/img][/center]
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Information: 과제1: 수선의 발의 좌표