Discussion
For \( \mathbf{A} = 2\mathbf{a}_x - \mathbf{a}_y + 2\mathbf{a}_z \) and \( \mathbf{B} = \mathbf{a}_x + 3\mathbf{a}_y - 2\mathbf{a}_z \), the dot product is
Answer: A
Correct answer: \( -5 \)
\[ (2)(1) + (-1)(3) + (2)(-2) = 2 - 3 - 4 = -5. \] The negative sign means the angle between the two exceeds ninety degrees, since the dot product carries the cosine of that angle.
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