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If veca and vecb are position vectors of...

If `veca and vecb` are position vectors of A and B respectively, then the position vector of a point C in AB produced such ahat `vec(AC) = vec(3AB)` 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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