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The position vectors of the points P and...

The position vectors of the points P and Q with respect to the origin O are `vec(a)=hat(i)+3hat(j)-2hat(k)` and `vec(b)=3hat(i)-hat(j)-2hat(k)`, respectively. If M is a point on PQ, such that OM is the bisector of POQ, then `vec(OM)` is

A

`2(hat(i)-hat(j)+hat(k))`

B

`2hat(i)+hat(j)-2hat(k)`

C

`2(-hat(i)+hat(j)-hat(k))`

D

`2(hat(i)+hat(j)+hat(k))`

Text Solution

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The correct Answer is:
B
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