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Find the unit vector parallel to the res...

Find the unit vector parallel to the resultant vector of `2hati+4hatj-5hatk and hati+2hatj+3hatk`.

A

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

B

`(hati+hatj+hatk)/(sqrt(3))`

C

`(hati+hatj+2hatk)/(sqrt(6))`

D

`(1)/(sqrt(69))(-hati-hatj+8hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A
Resultant vector`=(2hati+4hatj-5hatk)+(hati+2hatj+3hatk)`
`=3hati+6hatj-2hatk`
Unit vector`=(3hati+6hatj-2hatk)/(sqrt(9+36+4))=(1)/(7)(3hati+6hatj-2hatk)`.
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