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If A(-4,0,3)a n dB(14 ,2,-5), then which...

If `A(-4,0,3)a n dB(14 ,2,-5),` then which one of the following points lie on the bisector of the angle between ` vec O Aa n d vec O B(O` is the origin of reference )? a. `(2,2,4)` b. `(2, 11 ,5)` c. `(-3,-3,-6)` 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

`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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