The magnitude of vector cross product:

$\overline{){\mathbf{|}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{P}}{\mathbf{\times}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{Q}}{\mathbf{|}}{\mathbf{=}}{\mathbf{P}}{\mathbf{Q}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta}}}$

Where P is the magnitude of $\stackrel{\mathbf{\rightharpoonup}}{\mathbf{P}}$, Q is the magnitude of $\stackrel{\mathbf{\rightharpoonup}}{\mathbf{Q}}$, and θ is the angle between the vectors $\stackrel{\mathbf{\rightharpoonup}}{\mathbf{P}}$ and $\stackrel{\mathbf{\rightharpoonup}}{\mathbf{Q}}$.

Let V_{1} and V_{2} be different vectors with lengths V_{1} and V_{2}, respectively.

Part A - Magnitude of the cross product of two perpendicular vectors

If V_{1} and V_{2} are perpendicular, calculate |V_{1}xV_{2}|

Part B - Magnitude of the cross product of two parallel vectors

If V_{1} and V_{2} are perpendicular, calculate |V_{1}xV_{2}|

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.