3D Vector Cross Product Calculator

Vector V1: ,,
Vector V2: ,,
 
Cross product：

What is a 3D Vector Cross Product Calculator?

A 3D Vector Cross Product Calculator is a tool that computes the cross product of two vectors in three-dimensional space. The cross product of two vectors results in a third vector that is perpendicular to both input vectors.

Why Use a 3D Vector Cross Product Calculator?

  • To find a vector normal (perpendicular) to two given vectors.
  • To determine the direction of rotation in physics and engineering.
  • To compute torque, angular momentum, and force in physics.
  • To find surface normals in 3D graphics and game development.

How Does the Calculator Work?

  1. Input Two Vectors
    Given two vectors:

    A=(Ax,Ay,Az)
    B=(Bx,By,Bz)

  2. Apply the Cross Product Formula
    The cross product is given by:

    Expanding the determinant:

    Resulting in the vector:

When to Use This Calculation?

  • Physics & Engineering: To compute forces, torque, and motion.
  • Robotics: To determine rotational axes and orientations.
  • 3D Graphics & Game Development: For lighting, shading, and surface normals.
  • Navigation & Aerospace: To calculate direction in 3D space.