Calculate the normal vector to a plane defined by two vectors (Cross Product).
Input Vectors
Vector A
Vector B
Normal Vector (A × B)
Normal Vector N(0, 0, 1)
Magnitude |N|1.0000
Unit Normal n̂(0.000, 0.000, 1.000)
About this calculator
What is a Normal Vector?
A normal vector is a vector that is perpendicular to a surface or another vector. The cross product of two linearly independent vectors A and B yields a vector N that is perpendicular to both.
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Pro Tips
The direction follows the right-hand rule.
If the cross product is zero, the vectors are parallel.
The normal vector defines the orientation of a plane.
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Fun Facts
"Normal vectors are crucial in 3D computer graphics for lighting calculations."
"A unit normal vector has a length of 1."
Formula: N = A × B = (AyBz - AzBy, AzBx - AxBz, AxBy - AyBx)
