Show that the points whose position vectors are
and
are collinear.
let the given points are A, B, C with position vectors
respectively so ![]()
We know that equation of line passing through
is
![]()
![]()
….(1)
If A, B, C are collinear then C must satisfy eq. (1)
![]()
On comparing the coefficient of
on both sides of the equation
for all ![]()
Hence the points A, B, C are collinear.