The vectors and are such that and form a right handed system

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

Problem

The vectors

\mathbf{c}, \mathbf{a} = x\hat{i} + y\hat{j} + z\hat{k}

and

\mathbf{b} = \hat{j}

are such that

\mathbf{a}, \mathbf{c}

and

\mathbf{b}

form a right handed system, then

\mathbf{c}

is (1)

z\hat{i} - x\hat{k}

(2) 0 (3)

y\hat{j}

(4)

-z\hat{i} + x\hat{k}