Statement I Let and be three points such that

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Statement I Let

A(a), B(b)

and

C(c)

be three points such that

a = 2\hat{i} + \hat{k}

b = 3\hat{i} - \hat{j} + 3\hat{k}

and

c = -\hat{i} + 7\hat{j} - 5\hat{k}

. Then,

OABC

is a tetrahedron. Statement II Let

A(a), B(b)

and

C(c)

be three points such that vectors

a, b

and

c

are non-coplanar. Then

OABC

is a tetrahedron.