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If A(-4, 0, 3) and B(14, 2, -5), then wh...

If `A(-4, 0, 3) and B(14, 2, -5)`, then which one of the following points lie on the bisector of the angle between `vec(OA) and vec(OB)` (O is the origin of reference) ? (A) (2,2,4) (B) (2,11,5) (C) (2,11,5) (D) (1,1,2)

A

(2,2,4)

B

(2,11,5)

C

(-3,-3,-6)

D

(1,1,2)

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`OA=-4hati+3hatk,OB=14hati+2hatj-5hatk`
`a=(-4hati+3hatk)/(5),b=(14hati+2hatj-5hatk)/(15)`
`r=(lamda)/(15)[12hati+9hatj+14 hati+2hatj-5hatk]`
`=(lamda)/(15)[2hati+2hatj+4hatk]=(2lamda)/(15)[hati+hatj+2hatk]`.
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