If vecP=4hati-2hatj+6hatk and vecQ=hati-...

If `vecP=4hati-2hatj+6hatk and vecQ=hati-2hatj-3hatk` then the angle which `vecP+vecQ` makes with x-axis is

A

`cos^(-1((3)/(sqrt(50)))`

B

`cos^(-1((4)/(sqrt(50)))`

C

`cos^(-1((5)/(sqrt(50)))`

D

`cos^(-1((12)/(sqrt(50)))`

Verified by Experts

The correct Answer is:

C

`vecP+vecQ=5hati-4hatj+3hatk rArr "cos" alpha=(5)/( sqrt(50))`
`alpha=cos^(-1)((5)/(sqrt(50)))`

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