3D Vector Cross Product Calculator
Calculate cross product of two 3D vectors including magnitude and direction
About this calculator
The 3D Vector Cross Product Calculator computes the cross product of two three-dimensional vectors, providing both the resulting vector and its magnitude and direction. This tool is essential for physics, engineering, and mathematics applications where you need to find a vector perpendicular to two given vectors, calculate torque, determine angular momentum, or solve geometric problems involving planes and rotational motion in 3D space.
How to use
Enter the x, y, and z components of your first vector in the designated input fields, then input the components of your second vector. Click the calculate button to instantly obtain the cross product vector, its magnitude, and directional information including unit vector components.
Frequently asked questions
What is the geometric meaning of cross product?
The cross product produces a vector perpendicular to both input vectors, with magnitude equal to the parallelogram area they form.
When is the cross product zero?
The cross product equals zero when vectors are parallel, antiparallel, or when either vector has zero magnitude.
How do I interpret the direction of the result?
The cross product direction follows the right-hand rule: curl fingers from first to second vector, thumb points toward result.