1.

The angle `theta` between the vector `p=hati+hatj +hatk` and unit vector along X-axis isA. `cos^(-1) ((1)/(sqrt3))`B. `cos^(-1) ((1)/(sqrt2))`C. `cos^(-1) ((sqrt3)/(2))`D. `cos^(-1)((1)/(2))`

Answer» Correct Answer - A
The angle between
`p = hati + hatj + hatk `
`x -` axis ` x = hati`
is given by
`cos theta = (p * x)/(|p||x|) = ((hati + hatj + hatk))/(sqrt(1^(2) + 1^(2) + 1^(2)))((hati))/(sqrt(1^(2))) = (1)/(sqrt3)`
`implies theta = cos^(-1) ((1)/(sqrt3))`


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