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If veca & vecb are the position vectors ...

If `veca` & `vecb` are the position vectors of `A` & `B` respectively and `C` is a point on `AB` produced such that `AC=3AB` then the position vector of `C` is:

A

(a) `3veca-vecb`

B

(b) `3vecb-veca`

C

(c) `3veca-2vecb`

D

(d) `3vecb-2veca`

Text Solution

Verified by Experts

The correct Answer is:
D
Since, given that AC=3AB. It means that point C divides AB externally.
Thus, `AC:BC=3:2`

Hence, `OC=(3*b-2*a)/(3-2)=3b-2a`
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