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:

C_x = A_y B_z - A_zB_y

C_y = A_z B_x - A_xB_z

C_z = A_x B_y - A_yB_x

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.