Discussion
The angle between \( \mathbf{a}_x \) and \( \mathbf{a}_x + \mathbf{a}_y \) is
Answer: C
The dot product is one and the magnitudes are one and root two, so the cosine of the angle is \( 1/\sqrt{2} \) and the angle is forty-five degrees. The second vector is the diagonal of a unit square, which makes the answer obvious geometrically.
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