If bisects the angle between and

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

Problem

If i^−3j^+k^\hat{i} - 3\hat{j} + \hat{k} bisects the angle between a\mathbf{a} and −i^+2j^+2k^-\hat{i} + 2\hat{j} + 2\hat{k} , where a\mathbf{a} is a unit vector, then (1) a=1105(41i^+88j^−40k^)\mathbf{a} = \frac{1}{105}(41\hat{i} + 88\hat{j} - 40\hat{k}) (2) a=1105(41i^+88j^+40k^)\mathbf{a} = \frac{1}{105}(41\hat{i} + 88\hat{j} + 40\hat{k}) (3) a=1105(−41i^+88j^−40k^)\mathbf{a} = \frac{1}{105}(-41\hat{i} + 88\hat{j} - 40\hat{k}) (4) a=1105(41i^−88j^−40k^)\mathbf{a} = \frac{1}{105}(41\hat{i} - 88\hat{j} - 40\hat{k})

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