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The position vectors of the points A,B a...

The position vectors of the points A,B and C are `hati+2hatj-hatk,hati+hatj+hatk and 2hati+3hatj+2hatk`, respectively. If A is chosen as the origin, then the position vectors of B and C are

A

`hati+2hatk,hati+hatj+3hatk`

B

`hatj+2hatk,hati+hatj+3hatk`

C

`-hatj+2hatk,hati--hatj+3hatk`

D

`-hatj+2hatk,hati+hatj+3hatk`

Text Solution

Verified by Experts

The correct Answer is:
D
`OA=hati+2hatj-hatk,OB=hati+hatj+hatk`
and `OC=2hati+3hatj+2hatk`
Position vector of B w.r.t. origin at A at
`AB=OB-OA=-hatj+2hatk`
Position vector of C w.r.t. origin at A is
`AC=OC-OA=hati+hatj+3hatk`.
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