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** Q 2836701672. ** A unit vector a is making angle `pi//3` with `hat i, pi//4` with `hat j` and an acute angle `theta` with `hat k`

I. The value of `theta` is `pi//3`.

II. The components of `a` are `1/2 , 1/sqrt2 , 1/sqrt 2`

Which of the above statement(s) is/are correct?