The position vectors of three vertices of a tetrahedron with respect to its vertex are

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

Problem

The position vectors of three vertices

A, B, C

of a tetrahedron

OABC

with respect to its vertex

O

are

\hat{\mathbf{i}}, 6\hat{\mathbf{j}}, \hat{\mathbf{k}}

, then its volume (in cu units) is (1) 3 (2)

\frac{1}{3}

(3)

\frac{1}{6}

(4) 6