If the volume of parallelopiped formed by the vectors as three coterminous edges is…

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

Problem

If the volume of parallelopiped formed by the vectors

\mathbf{a}, \mathbf{b}, \mathbf{c}

as three coterminous edges is 27 cu units, then the volume of the parallelopiped have

\alpha = \mathbf{a} + 2\mathbf{b} - \mathbf{c}

\beta = \mathbf{a} - \mathbf{b}

and

\gamma = \mathbf{a} - \mathbf{b} - \mathbf{c}

as three coterminous edges is (1) 27 (2) 9 (3) 81 (4) None of these