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A unit vector vec a makes angles pi/4\ ...

A unit vector ` vec a` makes angles `pi/4\ a n d\ pi/3` with ` hat i\ a n d\ hat j` respectively and an acute angle `theta` with ` hat kdot` Find the angle `theta` and components of ` vec adot`

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The correct Answer is:
`theta=pi/3`, component of `vec(a)` are `1/sqrt(2)hat(i), 1/2hat(j), 1/2hat(k)`
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