Question

If vector(a , b , c) are unit vectors such that vector(a.b) = vector(a.c) =0 and the angle between vector b and vector c is π/6, then prove that :

(i) vector a=±2(vector(b x c)

(ii) [vector(a+b,b+c,c+a)]=±1.

Answer 1

(i) As given

=±1

Hence proved.