Volume of parallelepiped formed by vectors

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

Problem

\mathbf{a} \times \mathbf{b}

\mathbf{b} \times \mathbf{c}

and

\mathbf{c} \times \mathbf{a}

is 36 sq units.

Column I	Column II
A. Volume of parallelepiped formed by vectors $\mathbf{a}$ , $\mathbf{b}$ and $\mathbf{c}$ is	p. 0 sq units
B. Volume of tetrahedron formed by vectors $\mathbf{a}$ , $\mathbf{b}$ and $\mathbf{c}$ is	q. 12 sq units
C. Volume of parallelepiped formed by vectors $\mathbf{a} + \mathbf{b}$ , $\mathbf{b} + \mathbf{c}$ and $\mathbf{c} + \mathbf{a}$ is	r. 6 sq units
D. Volume of parallelepiped formed by vectors $\mathbf{a} - \mathbf{b}$ , $\mathbf{b} - \mathbf{c}$ and $\mathbf{c} - \mathbf{a}$ is	s. 1 sq units