Let and , then the point of intersection of the lines and…

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

Problem

Let

\mathbf{a} = \hat{i} + \hat{j}

and

\mathbf{b} = 2\hat{i} - \hat{k}

, then the point of intersection of the lines

\mathbf{r} \times \mathbf{a} = \mathbf{b} \times \mathbf{a}

and

\mathbf{r} \times \mathbf{b} = \mathbf{a} \times \mathbf{b}

is (1)

(3, -1, 1)

(2)

(3, 1, -1)

(3)

(-3, 1, 1)

(4)

(-3, -1, -1)