# Problem: If A and B are nonzero vectors for which A·B = 0, it must follow that A) A×B = 0. B) A is parallel to B . C) |A ×B | = AB. D) | A× B| = 1.

###### FREE Expert Solution

Dot product:

$\overline{){\mathbf{A}}{\mathbf{·}}{\mathbf{B}}{\mathbf{=}}{\mathbf{A}}{\mathbf{B}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta }}}$

Cross product:

$\overline{){\mathbf{|}}{\mathbf{A}}{\mathbf{×}}{\mathbf{B}}{\mathbf{|}}{\mathbf{=}}{\mathbf{A}}{\mathbf{B}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}}$

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###### Problem Details

If A and B are nonzero vectors for which A·B = 0, it must follow that

A) A×B = 0.

B) A is parallel to B .

C) |A ×B | = AB.

D) | A× B| = 1.