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Three points A,B, and C have position ve...

Three points A,B, and C have position vectors `-2veca+3vecb+5vecc, veca+2vecb+3vecc` and `7veca-vecc` with reference to an origin O. Answer the following questions?
B divided AC in ratio

A

`2:1`

B

`2:3`

C

`2:-3`

D

`1:2`

Text Solution

Verified by Experts

The correct Answer is:
D
`because 2OA-3OB=OC=0`

`implies OB=(2OA+OC)/(3)`
`implies B` Divides AC in 1:2.
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