# The points with position vectors 60i+3j , 40i-8j , ai-52j are collinear if

Answers (1)

Solution:    Three points  $A(\vec{a}),B(\vec{b}),C(\vec{c})$    are collinear if  $\vec{AB}\parallel \vec{AC}$

$\\ \\ \Rightarrow \hspace{1cm} \vec{AB}=-20i-11j ;\vec{AC}=(a-60)i-55j \\ \\ \Rightarrow \hspace{1cm}\vec{AB}\parallel \vec{AC}\Rightarrow \frac{a-60}{-20}=\frac{-55}{-11}\Rightarrow a=-40$

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