Unlock the power of 3D vector operations with our Vector Cross Product Calculator. Easily compute the cross product of two vectors (A × B) to find a resultant vector that is perpendicular to both input vectors. This tool is indispensable for students and professionals in physics, engineering, and computer graphics, helping to solve problems related to torque, angular momentum, magnetic forces, and surface normals. Get instant, accurate results for your vector calculations.
Formula:
The cross product (also known as the vector product) of two vectors A and B, denoted A × B, results in a new vector that is perpendicular to both A and B. For vectors A = (Ax, Ay, Az) and B = (Bx, By, Bz), the cross product components (Cx, Cy, Cz) are calculated as follows:
- Cx = AyBz - AzBy
- Cy = AzBx - AxBz
- Cz = AxBy - AyBx
So, A × B = (Cx)i + (Cy)j + (Cz)k
Where:
- Ax, Ay, Az are the components of vector A.
- Bx, By, Bz are the components of vector B.
- i, j, k are the unit vectors along the X, Y, and Z axes, respectively.