Mathematics

Mathematics

Problem

The position vectors of the points PP and QQ with respect to the origin OO are a=i^+3j^−2k^\mathbf{a} = \hat{i} + 3\hat{j} - 2\hat{k} and b=3i^−j^−2k^\mathbf{b} = 3\hat{i} - \hat{j} - 2\hat{k} , respectively. If MM is a point on PQPQ , such that OMOM is the bisector of PQPQ , then OMOM is a. 2(i^−j^+k^)2(\hat{i} - \hat{j} + \hat{k}) b. 2i^+j^−2k^2\hat{i} + \hat{j} - 2\hat{k} c. 2(−i^+j^−k^)2(-\hat{i} + \hat{j} - \hat{k}) d. 2(i^+j^+k^)2(\hat{i} + \hat{j} + \hat{k})

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