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

Three points A,B and C have position vectors `-2a+3b+5c,a+2b+3c and 7a-c` with reference to an origin O. answer the following questions.
Q. 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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