Statement I Let and be the position vectors of four points and and

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

Problem

Statement I Let

a, b, c

and

d

be the position vectors of four points

A, B, C

and

D

and

3a - 2b + 5c - 6d = 0

. Then points

A, B, C

and

D

are coplanar. Statement II Three non-zero linearly dependent co-initial vectors (

PQ, PR

and

PS

) are coplanar. Then

PQ = \lambda PR + \mu PS

, where

\lambda

and

\mu

are scalars.