Persamaan garis yang tegak lurus garis g dan melalui (7, 3) adalah

Persamaan garis yang tegak lurus garis g dan melalui (7, 3) adalah

Jawab:

Penjelasan dengan langkah-langkah:

$g(t) = left[begin{array}{ccc}0-(-2)\-3-0end{array}right] cdot t +left[begin{array}{ccc}-2\0end{array}right] =left[begin{array}{ccc}2\-3end{array}right] cdot t +left[begin{array}{ccc}-2\0end{array}right]\\vec{g} = left[begin{array}{ccc}2\-3end{array}right]$

$l(v) = left[begin{array}{ccc}a\bend{array}right] cdot v +left[begin{array}{ccc}7\3end{array}right] to vec{l} = left[begin{array}{ccc}a\bend{array}right]\\vec{g}perp vec{l} toto vec{g}bullet vec{l} = 0\\vec{g}bulletvec{l} = 2a-3b = 0\\2a = 3b to a = dfrac{3}{2} b$

$vec{l} = left[begin{array}{ccc}dfrac{3}{2} ; b\\bend{array}right] = left[begin{array}{ccc}3 \2 end{array}right] dfrac{1}{2};b to text{ambil b misalkan b = 2} :\\vec{l} = left[begin{array}{ccc}3 \2 end{array}right]$

$l(v) = left[begin{array}{ccc}3\2end{array}right] cdot v +left[begin{array}{ccc}7\3end{array}right] = left[begin{array}{ccc}3v+7\2v+3end{array}right] \\x = 3v+7, ; y = 2v+3\\2x = 6v+14, ; 3y = 6v + 9\\boxed{text{Huge{$bold{2x-3y = 5}$}}}$