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Let veca = hati - 2 hatj + 2hatk and ...

Let `veca = hati - 2 hatj + 2hatk` and `vec b = 2 hati - hatj + hatk` be two vectors. If `vec c` is a vector such that `vecb xx vec c = vec b xx vec a` and `vec c vec a = 1` , then `vec c vec b` is equal to :

A

`1`

B

`-1`

C

`2`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
D
`vecbxxvecc - vecbxxveca=veca," "vecbxx(vecc-veca) =vec0`
`vecb = lamda (vec c - veca )" ...(1)"`
`veca.vecb=lamda (veca.vecc-veca^2 )`
`6=lamda(1-9)rArrlamda=(-6)/8 = (-3)/4`
`vecc = (-4)/3 vecb + veca, " "vecb.vec c = -2`
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