주어진 벡터에 평행한 직선의 방정식

직선의 벡터 방정식
[size=150]좌표평면에서 [math]\large \mathrm{A}[/math]를 지나고 영벡터가 아닌 벡터 [math]\large \overrightarrow{u}[/math]에 평행한 직선 [math]\large l[/math]의 방정식을 구하여 보자.[br][br][center][img]data:image/png;base64,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[/img][/center][br][br]위의 그림과 같이 직선 [math]\large l[/math] 위의 임의의 점을 [math]\large \mathrm{P}[/math]라 하면 [math]\large \overrightarrow{\mathrm{AP}} /\!/\overrightarrow{u}[/math]이므로 [math]\large \overrightarrow{\mathrm{AP}}=t\overrightarrow{u}[/math]인 실수 [math]\large t[/math]가 존재한다.[br]이때 두 점 [math]\large \mathrm{A}\,\mathrm{P}[/math]의 위치벡터를 각각 [math]\large \overrightarrow{a}, \, \overrightarrow{p} [/math]라 하면 [math]\large \overrightarrow{\mathrm{AP}}=\overrightarrow{p}-\overrightarrow{a} [/math]이므로[br]  [math]\large \overrightarrow{p}=\overrightarrow{a}+ t\overrightarrow{u} \quad \cdots \quad(*)[/math][br]가 성립한다. [math]\large \overrightarrow{a}=\left(x_1,\, y_1\right)[/math], [math]\large \overrightarrow{u}=(a,\, b)[/math], [math]\large\overrightarrow{p}=(x,\,y) [/math]라 하면[br]  [math]\large (x,\,y)=\left(x_1,\,y_1 \right)+t(a,\,b)\quad \cdots \quad(*)[/math][br]이다. 위의 식[math]\large (*)[/math]을 직선의 [b][color=#980000]벡터 방정식[/color][/b]이라 하고, [math]\large \overrightarrow{u}[/math]를 직선 [math]\large l[/math]의 [b][color=#980000]방향벡터[/color][/b]라 한다.[br][/size]
직선의 매개변수 방정식
[size=150]직선 [math]\large l[/math]의 벡터 방정식 [math]\large (*)[/math]의 좌변을 정리하면[br]  [math]\large (x, \,y)=\left( x_1+at , \, y_1+bt\right)[/math][br]이므로 직선 [math]\large l [/math]의 방정식은 실수 [math]\large t[/math]를 사용하여 다음과 같이 나타낼 수 있다.[br]  [math]\large x= x_1 + at , \, y= y_1 + bt \quad \cdots \quad (**)[/math][br]위와 같이 나타낸 식[math]\large (**)[/math]을 직선 [math]\large l[/math]의 [b][color=#980000]매개변수 방정식[/color][/b]이라 하고, 실수 [math]\large t[/math]를 [b][color=#980000]매개변수[/color][/b]라 한다.[br][/size]
매개변수를 사용하지 않은 직선의 방정식
[size=150]직선 [math]\large l[/math]의 매개변수 방정식 [math]\large (**)[/math]에서 [math]\large ab\ne 0[/math]일 때, [math]\large t=\frac{x-x_1}{a}, \, t=\frac{y-y_1}{b}[/math] 이므로 [math]\large t[/math]를 소거하면 직선 [math]\large l[/math]의 방정식을[br]  [math]\large \frac{x-x_1}{a}=\frac{y-y_1}{b} [/math][br]와 같이 나타낼 수 있다.[br][br]한편, 방정식 [math]\large (**)[/math]에서 [math]\large ab=0[/math]일 때, 직선의 방정식은[br][list=1][*][math]\large a=0,\,b\ne 0[/math]이면 직선의 방정식은 [math]\large x=x_1[/math][/*][*][math]\large a\ne 0,\, b=0[/math]이면 직선의 방정식은 [math]\large y=y_1 [/math][/list]이다.[/size]
문제해결: 직선의 벡터 방정식
문제해결: 두 점을 지나는 직선의 방정식
문제해결: 주어진 직선에 평행한 직선의 방정식

Information: 주어진 벡터에 평행한 직선의 방정식