\textbf{133.} The image of vector $\vec{a} = 7\mathbf{i} + 3\mathbf{j} - \sqrt{2}\,\mathbf{k}$, under a rotation that makes an angle of $60°$ with each of the $x$ and $y$ axes and makes an acute angle with the $z$-axis, has what components?
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\hfill (1) $(1,1,\sqrt{2})$ \hfill (2) $(2,2,2\sqrt{2})$ \hfill (3) $(2,2,2\sqrt{3})$ \hfill (4) $(3,3,\sqrt{3})$ \hfill
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