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If vec(a) makes equal angles with hat(i)...

If `vec(a)` makes equal angles with `hat(i), hat(j)` and `hat(k)` has magnitude 3, prove that the angle between `vec(a)` and each of `hat(i), hat(j)` and `hat(k)` is `cos^(-1)""(1)/((sqrt(3)))`.

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