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The value of a for which the points A,B,...

The value of a for which the points A,B,C with position vectors `2hati-hatj+hatk, hati-3hatj-5hatk and ahati-3hatj+hatk` respectively are the vertices are the vetices of a righat angled triangle with `C=pi/2` are (A) `-2 and -1` (B) `-2 and 1` (C) `2 and -1` (D) `2 and 1

A

2 and 1

B

`-2` and -1

C

`-2` and 1

D

2 and -1

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(CA)=(2-a)hati+2hatj , vec(CB)=(1-a)hati-6hatk`
`vec(CA).vec(CB)=0 rArr (2-a)(1-a)=0 rArr a=2, 1`
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Knowledge Check

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