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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

Let be three mutually perpendicular vectors of the same magnitude. If a vector satisfies the equation

×\{(-)×\} + ×\{(-)×\} + ×\{(-)×\} =

then is given by

Answer: (B)

Solution

Let . Using and :

×\{(-)×\} = λ^2(-) - (·).

Similarly the other two t

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Question ID VK-109675