The position vectors of the points PandQ with respect to the origin O are a=i^+3j^−2k^ and b=3i^−j^−2k^, respectively. If M is a point on PQ, such that OM is the bisector of ∠POQ, then OM is a. 2(i^−j^+k^) b. 2i^+j^−2k^ c. 2(−i^+j^−k^) d. 2(i^+j^+k^)

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The position vectors of the points {P}{a}{n}{d}{Q} with respec

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The position vectors of the points $P a n d Q$ with respect to the origin $O$ are $a = \hat{i} + 3 \hat{j} - 2 \hat{k}$ and $b = 3 \hat{i} - \hat{j} - 2 \hat{k},$ respectively. If $M$ is a point on $P Q,$ such that $O M$ is the bisector of $∠ P O Q,$ then $O M$ is a. $2 (\hat{i} - \hat{j} + \hat{k})$ b. $2 \hat{i} + \hat{j} - 2 \hat{k}$ c. $2 (- \hat{i} + \hat{j} - \hat{k})$ d. $2 (\hat{i} + \hat{j} + \hat{k})$

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The position vectors of the points

P a n d Q

with respect to the origin

O

are

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

and

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

respectively. If

M

is a point on

P Q,

such that

O M

is the bisector of

∠ P O Q,

then

O M

is a.

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

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

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

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

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