Given the vectors u = 2 i - j - k v = i - j + 2 k w = i - k If the volume of the…

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

Problem

Given the vectors

\mathbf{u} = 2\hat{i} - \hat{j} - \hat{k}

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

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

If the volume of the parallelopiped having

-c\mathbf{u}

\mathbf{v}

, and

c\mathbf{w}

as concurrent edges is 8, then

c

is equal to (1)

\pm 2

(2) 4 (3) 8 (4) Cannot be determined