Vector Cross Product Calculator
Calculate cross product of 3D vectors with magnitude and direction analysis
About this calculator
The Vector Cross Product Calculator computes the cross product of two 3D vectors, providing both the resulting vector components and detailed magnitude and direction analysis. This tool is essential for physics, engineering, and mathematics applications where you need to find perpendicular vectors, calculate torque, determine area of parallelograms, or analyze rotational motion. The calculator automatically handles all complex computations and presents results in an easy-to-understand format with visual representation.
How to use
Enter the x, y, and z components for both input vectors in the designated fields. Click the calculate button to instantly compute the cross product. The results will display the resulting vector components, magnitude, unit vector, and angle information for comprehensive analysis.
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 area of the parallelogram they form.
When is the cross product zero?
The cross product equals zero when vectors are parallel, antiparallel, or when at least one vector is the zero vector.
Can I calculate cross product for 2D vectors?
Cross product is defined for 3D vectors only. For 2D vectors, set the z-component to zero in the calculator.