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Let A(1,-1,2) and B(2,3-1) be two points...

Let `A(1,-1,2) and B(2,3-1)` be two points. If a point P divides AB internally in the ratio `2:3`, then the position vector of P is

A

`1/sqrt5(overset(^)i+overset(^)j+overset(^)k)`

B

`1/sqrt3(overset(^)i+6overset(^)j+overset(^)k)`

C

`1/sqrt3(overset(^)i+overset(^)j+overset(^)k)`

D

`1/5(7overset(^)i+3overset(^)j+4overset(^)k)`

Text Solution

Verified by Experts

The correct Answer is:
D
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