Let `veca= 2 hati + 3hatj - 6hatk, vecb = 2hati - 3hatj + 6hatk and vecc = -2 hati + 3hatj + 6hatk`. Let `veca_(1)` be the projection of `veca on vecb and veca_(2)` be the projection of `veca on vecc` . Then
which of the following is true ?

Options

A. `veca and veca_(2)` are collinear
B. `veca_(1) and vecc` are collinear
C. `veca , veca_(1) and vecb` are coplanar
D. `veca, veca_(1) and a_(2)` are coplanar

Answer

c

Explanation

`veca,veca_(1)andvecb` are coplanar because `veca_(1) and vecb` are collinear.