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If a and b are position vectors of A and...

If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that `vec(AC)=3 vec(AB)` is

A

3 a -2b

B

3b -2a

C

3b +2a

D

2a - 3b

Text Solution

Verified by Experts

The correct Answer is:
B
Let the position vector for C be c.
Clearly , B divides AC internally in the ratio 1:2
` therefore b=(2a +1.c ) /(2+1)implies c=3b-2a`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-VECTORS -( MHT CET Corner)
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  16. Given p=3hat(i)+2hat(j)+4hat(k), a=hat(i)+hat(j), b=hat(j)+hat(k), c=h...

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  18. If 2veca+ 3vecb-5 vecc=vec0, then ratio in which vecc divides vec...

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  20. If the vectors hat(i)-3hat(j)+2hat(k), -hat(i)+2hat(j) represent the d...

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