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The unit vector parallel to the resultan...

The unit vector parallel to the resultant of the vectors `vecA=2hati+4hatj+2hatk` and `vecB=-2hati+4hatj-hatk` 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:
1
`vecR= vecA+ vecB = 3hati+ 6hatj-2hatk`
Unit vector parallel to `vecR` is
`hatR = (3hati+6hatj-2hatk)/(sqrt(3^(2)+ 6^(2) + 2^(2)))= (1)/(7) (3hati+ 6hatj-2hatk)`
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