If is a unit vector and projection of along is 2 units and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

If a^\hat{a} is a unit vector and projection of x\mathbf{x} along a^\hat{a} is 2 units and (a^×x)+b=x(\hat{a} \times \mathbf{x}) + \mathbf{b} = \mathbf{x} , then x\mathbf{x} is equal to (1) 12[a^−b+(a^×b)]\frac{1}{2}[\hat{a} - \mathbf{b} + (\hat{a} \times \mathbf{b})] (2) 12[2a^−b+(a^×b)]\frac{1}{2}[2\hat{a} - \mathbf{b} + (\hat{a} \times \mathbf{b})] (3) [a^+(a^×b)][\hat{a} + (\hat{a} \times \mathbf{b})] (4) None of the above

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