The position vectors of the points and with respect to the origin are and

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

Problem

The position vectors of the points

P

and

Q

with respect to the origin

O

are

\mathbf{a} = \hat{i} + 3\hat{j} - 2\hat{k}

and

\mathbf{b} = 3\hat{i} - \hat{j} - 2\hat{k}

, respectively. If

M

is a point on

PQ

, such that

OM

is the bisector of

PQ

, then

OM

is (1)

2(\hat{i} - \hat{j} + \hat{k})

(2)

2\hat{i} + \hat{j} - 2\hat{k}

(3)

2(-\hat{i} + \hat{j} - \hat{k})

(4)

2(\hat{i} + \hat{j} + \hat{k})