Calculate Vector Cross Products
Our Cross Product Calculator helps you determine the cross product (vector product) of two vectors in three-dimensional space. This is essential for:
- Physics calculations
- Engineering analysis
- Computer graphics
- Robotics
- Game development
How to Use Our Cross Product Calculator
- Enter the components (x, y, z) of the first vector
- Enter the components of the second vector
- Get the resulting cross product vector
- View the magnitude of the resulting vector
- See the angle between the input vectors
The calculator uses the formula: A × B = |A||B|sin(θ)n
Where:
- A and B are the input vectors
- θ is the angle between the vectors
- n is the unit vector perpendicular to both A and B
The components are calculated as:
- x = a₂b₃ - a₃b₂
- y = a₃b₁ - a₁b₃
- z = a₁b₂ - a₂b₁
Note: The cross product is perpendicular to both input vectors and follows the right-hand rule.