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
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
1/2 (p + q - 2r)
1/2 (p + q + r)
1/3 (2p + q - r)
1/3 (2p + q - r)
The Correct Option is B
Solution and Explanation
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
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