Let , and . Then, depends…

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

Let

\mathbf{a}=\hat{i}-\hat{k}

\mathbf{b}=x\hat{i}+\hat{j}+(1-x)\hat{k}

and

\mathbf{c}=y\hat{i}+x\hat{j}+(1+x-y)\hat{k}

. Then,

\left|\mathbf{a}\ \mathbf{b}\ \mathbf{c}\right|

depends on (1) Neither

x

nor

y

(2) Both

x

and

y

(3) Only

x

(4) Only

y