Question

Find the coordinate of the foot of the perpendicular drawn from point $A(1,0,3)$ to the join of points $B(4,7,1)$ and $C(3,5,3)$

Answer 1

Let the point be $(3+l,5+2l,3-2l)$

$⟹2+l+10+4l+4l=0$

$⟹l=\frac{-4}{3}$

$⟹$ point will be $(\frac{5}{3},\frac{7}{3},\frac{17}{3})$