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The unit vector parallel to the resultan...

The unit vector parallel to the resultant of the vectors `vecA=4hati+3hatj+6hatk` and `vecB=-hati+3hatj-8hatk` is

A

`(1)/(7)(3hati+6hatj-2hatk)`

B

`(1)/(7)(3hati+6hatj+2hatk)`

C

`(1)/(49)(3hati+6hatj-2hatk)`

D

`(1)/(49)(3hati-6hatj+2hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A
Resultant of vector `vecA` and `vecB`
`vecR=vecA+vecB=4hati+3hatj+6hatk-hati+3hatj-8hatk`
`vecR=3hati+6hatj-2hatk`
`hatR=(vecR)/(|vecR|)=(3hati+6hatj-2hatk)/(sqrt(3^(2)+6^(2)+(-2)^(2)))=(3hati+6hatj-2hatk)/(7)`
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