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