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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

AC=2AB

B

AC=-3AB

C

AC=3AB

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`AB=OB-OA=3a-b-2c`
`AC=OC-OA=9a-3b-6c=3AB`
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