Vector Product

The vector product of two vectors A und B is defined as:

A x B = C

The resulting vector C then has the carthesian components:

Cx = Ay Bz - Az By

Cy = Az Bx - Ax Bz

Cz = Ax By - Ay Bx

In the applet above you can see these formulas in action. You can use the sliders to adjust the length, angle relative to the z-axis, theta, and angle relative to the x-axis, phi for the vectors A und B. The vector product, A x B, is automatically calculated and displayed.

Please note: We have to work in 3d when using vector products. To make this more apparent, we are also displaying the projections of the vectors onto the xy-plane.