Let and . If is unit vector and the maximum value of , then the value of…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\mathbf{v} = 2\hat{i} + \hat{j} - \hat{k}

and

\mathbf{w} = \hat{i} + 3\hat{k}

. If

\hat{u}

is unit vector and the maximum value of

[\mathbf{u} \mathbf{v} \mathbf{w}] = \sqrt{\lambda}

, then the value of

(\lambda - 51)