And have position vectors and

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

Problem

A, B, C

and

D

have position vectors

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

and

\mathbf{d}

, respectively, such that

\mathbf{a} - \mathbf{b} = 2(\mathbf{d} - \mathbf{c})

. Then, (1)

AB

and

CD

bisect each other (2)

BD

and

AC

bisect each other (3)

AB

and

CD

trisect each other (4)

BD

and

AC

trisect each other