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The angle theta between the vector p=hat...

The angle `theta` between the vector `p=hati+hatj +hatk` and unit vector along X-axis is

A

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

B

`cos^(-1)((1)/(sqrt(2)))`

C

`cos^(-1)(sqrt(3)/(2))`

D

`cos^(-1)((1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
(A) the angle between
`P=hati+hatj+hatk` And X -axis ,s=hati" is givern by 3" `
`costheta (p.x)/(|P||x|)=((hati+hatj+hatk)(hati))/(sqrt(1^(2)+1^(2)+1^(2)).sqrt(1^(2)))=(1)/(sqrt(3))`
`theta=cos^(-1)((1)/(sqrt(3)))`
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