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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?
Which of the following is true?

A

`vec(AC)=2vec(AB)`

B

`vec(AC)=-3vec(AB)`

C

`vec(AC)=3vec(AB)`

D

None of these

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Verified by Experts

The correct Answer is:
C
`vec(AB) = vec(OB)-vec(OA)`
`=3veca-vecb-2vecc`
`vec(AC) = vec(OC)-vec(OA)`
`=9veca-3vecb-6vec(c)`
`=3vec(AB)`
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CENGAGE-VECTORS; DEFINITION, GEOMETRY RELATED TO VECTORS-DPP 1.1
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