Mathematics

Problem

A, B

and

C

are three vectors given by

2\hat{i} + \hat{k}, \hat{i} + \hat{j} + \hat{k}

and

4\hat{i} - 3\hat{j} + 7\hat{k}

. Then, find

R

, which satisfies the relation

R \times B = C \times B

and

R \cdot A = 0