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Yes, the cross-product of two vectors results in a vector that it's perpendicular to the plane that contains both vectors: in this case the Z direction.

There are two interpretations of the cross-product: Geometrical Interpretation: \vec{A}x\vec{B} = |A||B|\sin \theta \hat{n} Algebraic Interpretation: \vec{A} = A_x i + A_y j + A_z k \vec{B} = B_x i + B_y j + B_z k \vec{A}x\vec{B} = (A_y B_z-A_z B_y)i + (A_z B_x - A_x B_z)j...