# 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:

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

96% (82 ratings) ###### 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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Cross Product (Vector Product) concept. If you need more Intro to Cross Product (Vector Product) practice, you can also practice Intro to Cross Product (Vector Product) practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Delgado's class at HARVARD.