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If vecA=2hati+3hatj and vecB=hati+4hatj+...

If `vecA=2hati+3hatj and vecB=hati+4hatj+hatk`, then unit vector along `(vecA+vecB)` is

A

`((3hati+7hatj+hatk))/(sqrt(59))`

B

`((3hati+2hatj))/(sqrt(59))`

C

`((hati+4hatj+hatk))/(sqrt(18))`

D

`((2hati+3hatj))/(sqrt(13))`

Text Solution

Verified by Experts

The correct Answer is:
A
Unit vector along `(vecA+vecB)=((vecA+vecB))/(|vecA+vecB|) rArr (3hati+7hatj+hatk)/( sqrt(59))`
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