If and . If is a unit vector, then what is the maximum value of the scalar triple…

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

Problem

\vec{V} = 2\hat{i} + \hat{j} - \hat{k}

and

\vec{W} = \hat{i} + 3\hat{k}

. If

\vec{U}

is a unit vector, then what is the maximum value of the scalar triple product

["\vec{U} \\ \vec{V} \\ \vec{W}"]

? (1)

-1

(2)

\sqrt{10} + \sqrt{6}

(3)

\sqrt{59}

(4)

\sqrt{60}