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The position vector of a point C with re...

The position vector of a point C with respect to B is `hat i +hat j` and that of B with respect to A is `hati-hatj`. The position vector of C with respect to A is

A

`2hati`

B

`2hatj`

C

`-2hatj`

D

`-2hati`

Text Solution

Verified by Experts

The correct Answer is:
A
Since, position vectors of a point C with respect to B is
`BC=hati+hatj` . . (i)
similarly, `AB=hati-hatj` . . . (ii)
Now, by Eqs. (i) and (ii),
`AC=AB+BC=2hati`.
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