Cross Product Calculator

Compute the cross product of two 3D vectors, along with the resultant magnitude and angle between vectors.

Vector A

Vector B

Cross Product A × B
(0, 0, 0)
Magnitude |A × B|
0
Angle Between Vectors
0°
|A|
0
|B|
0

Formula

What Is the Cross Product?

The cross product of two 3D vectors produces a new vector perpendicular to both input vectors. It's computed as:

A × B = (AyBz - AzBy, AzBx - AxBz, AxBy - AyBx)

Properties

  • The cross product is anti-commutative: A × B = -(B × A)
  • The magnitude equals the area of the parallelogram formed by A and B
  • If A × B = 0, the vectors are parallel

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