If vectors `veca and vecb` are non collinear then `veca/(|veca|)+vecb/(|vecb|)` is (A) a unit vector (B) in the plane of `veca and vecb` (C) equally inclined to `veca and vecb` (D) perpendicular to `veca xx vecb`

Options

A. a unit vector
B. in the plane of `veca and vecb`
C. equally inclined to `veca and vecb`
D. perpendicular to `veca xx vecb`

Answer

b,c,d

Explanation

Obviosusly, ` veca/ (|veca| ) + vecb/(|vecb|)` is a vector in the palane of `veca and vecb` and hence perpendicular to `veca xx vecb` . It is also equally inclined to `veca and vecb` as it is along bisector.