A vector makes an angle of `pi/4` with each of x-axis and y-axis Find the angle made by it with the z-axis.

Explanation

Given, `alpha=frac{pi}{4}, beta=frac{pi}{4},
gamma=gamma `

`{l}=cos alpha `

`=cos frac{pi}{4} `

`Rightarrow {l}=frac{1}{sqrt{2}}`

`{m}=cos alpha `

`=cos frac{pi}{4} `

`Rightarrow {m}=frac{1}{sqrt{2}}`

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