Question

Let x, y and z be three vectors each of magnitude √2 and the angle between each pair of them is π/3. If a be a non-zero vector perpendicular to x and (y × z) and b is another non-zero vector perpendicular to y and (z × x), then 

(a) b = (b.z)(z – x) 

(b) a = (a.y)(y – z) 

(c) (a.b) = - (a.y)(b.z) 

(d) a = (a.y)(z – y)

Answer 1

Answer is (c) (a.b) = - (a.y)(b.z)

Explanation:

It is given that a is in the direction of x × (y × z)