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If a unit vector vec a makes angles(pi)/...

If a unit vector `vec a` makes angles`(pi)/(3)` with `hat i , (pi)/(4)` with `hat j` and an acute angle `theta` with `hat k`, then find `theta` and hence, the components of `vec a`.

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The correct Answer is:
`(pi)/(3);(1)/(2),(1)/(sqrt(2)),(1)/(2)`
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