Statement I Let and are position vector four points and and

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

Statement I Let

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

and

\mathbf{d}

are position vector four points

A, B, C

and

D

and

3\mathbf{a} - 2\mathbf{b} + 5\mathbf{c} - 6\mathbf{d} = \mathbf{0}

, then points

A, B, C

and

D

are coplanar. Statement II Three non-zero, linearly dependent cointial vectors (

PQ, PR

and

PS

) are coplanar.