$$\text { If } \mathbf { A } \times \mathbf { B } = 0 \text {, and } | \mathbf { A } | \neq 0 , | \mathbf { B } | \neq 0 \text {, then }$$
A) A is perpendicular to B.
B) A is parallel to B.
C) either of the first two answers may be correct, depending on details not supplied.
D) neither of the first two answers is correct.

Question

Quizplus · Accepted Answer

The cross product $\mathbf{A} \times \mathbf{B} = 0$ implies that vectors $\mathbf{A}$ and $\mathbf{B}$ are parallel, as the cross product is zero only when the vectors are parallel or one of them is zero, but both are non-zero here.

If A×B=0, and ∣A∣≠0,∣B∣≠0, then \text { If } \mathbf { A } \times \mathbf { B } = 0 \text {, and } | \mathbf { A } | \neq 0 , | \mathbf { B } | \neq 0 \text {, then } If A×B=0, and ∣A∣=0,∣B∣=0, then

$\text { If } \mathbf { A } \times \mathbf { B } = 0 \text {, and } | \mathbf { A } | \neq 0 , | \mathbf { B } | \neq 0 \text {, then }$