Question

Let p, q and r be three mutually perpendicular vectors of the same magnitude. If a vector x satisfies equation p x {(x - q) x p} + q x {(x - r) x r} + r x {(x - p) x r} = 0, then x is given by 

• A. 1/2 (p + q - 2r)
• B. 1/2 (p + q + r)
• C. 1/3 (2p + q - r)
• D. 1/3 (2p + q - r)

Answer 1

The Correct Option is B

Correct option (b) 1/2 (p + q + r)

Let p, q and r be three mutually perpendicular vectors of the same magnitude. 

If a vector x satisfies equation p x {(x - q) x p} + q x {(x - r) x r} + r x {(x - p) x r} = 0, 

then x is given by