Discussion
The unit vector along \( 2\mathbf{a}_x - \mathbf{a}_y + 2\mathbf{a}_z \) is
Answer: D
The magnitude is \( \sqrt{4 + 1 + 4} = 3 \), so dividing each component by three gives the unit vector. Its components, two thirds, minus a third and two thirds, are the direction cosines and the sum of their squares is one.
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