OABC is a tetrahedron

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

Problem

OABC is a tetrahedron. The position vectors of A, B and C are

\mathbf{i}

\mathbf{i} + \mathbf{j}

and

\mathbf{j} + \mathbf{k}

, respectively. O is origin. The height of the tetrahedron (taking plane ABC as base) is (1)

\frac{1}{2}

(2)

\frac{1}{\sqrt{2}}

(3)

\frac{1}{2\sqrt{2}}

(4) None of these