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If a=2hati+5hatj and b=2hati-hatj, then ...

If `a=2hati+5hatj and b=2hati-hatj`, then the unit vector along a+b will be

A

`(hati-hatj)/(sqrt(2))`

B

`hati+hatj`

C

`sqrt(2)(hati+hatj)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
`a+b=4hati+4hatj`.
Therefore, unit vector`=(4(hati+hatj))/(sqrt(32))=(hati+hatj)/(sqrt(2))`
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