EXERCISE 6.3

EXERCISE . . If , , k b k c , find (i) (  (ii)  . . For any vector a  , prove that + ×  . . Prove that [ ] b b c c . If , k b k c = −− , verify that (i) ( a c b b c a (ii) a c b a b c . , = −+ = + then find the value of ( ) (  . . If , , , a b c d are coplanar vectors, show that ( ) ( . If , k b k c = + la mb nc  , find the values of , l m n . . If , , a b c are three unit vectors such that ˆ b and ˆ c are non-parallel and b c , find the angle between ˆ a and ˆ c .