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Show that the points (8,1)(3, -4) and (2, -5) are collinear using determinant.

written 5.6 years ago by teamques10 ★ 69k

modified 3.0 years ago by pedsangini276 • 4.8k

engineering mathematics

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1.7kviews

written 5.6 years ago by teamques10 ★ 69k

•   modified 5.6 years ago

Consider

$\left|\begin{array}{lll}{x_{1}} & {y_{1}} & {1} \\ {x_{2}} & {y_{2}} & {1} \\ {x_{3}} & {y_{3}} & {1}\end{array}\right|$

$=\left|\begin{array}{ccc}{8} & {1} & {1} \\ {3} & {-4} & {1} \\ {2} & {-5} & {1}\end{array}\right|$

$=8(-4+5)-1(3-2)+1(-15+8)$

$=0$

$\therefore$ Points are collinear

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