Discussion
For \( \mathbf{A} = \mathbf{a}_x + 2\mathbf{a}_y \) and \( \mathbf{B} = 3\mathbf{a}_x - \mathbf{a}_y \), the cross product is
Answer: B
Both vectors lie in the xy plane so the product is along z, and its magnitude is \( (1)(-1) - (2)(3) = -7 \). The negative sign means the product points along the negative z direction, which the right hand rule confirms.
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