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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`

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The correct Answer is:
B
`therefore 2vec(OA) - 3vec(OB) + vec(OC) = vecO`

`rArr vec(OB) (2vec(OA) + vec(OC))/(3)`
`rArr` B divides AC in `1:2`
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CENGAGE-VECTORS; DEFINITION, GEOMETRY RELATED TO VECTORS-DPP 1.1
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