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Vector3.cross()

Instance method on Vector3.

Description​

  • Returns the cross product of this Vector3 and the specified Vector3. |
  • Returns the cross product of this Vector3 and the specified X, Y and Z values. |

Method Signature​

cross(Vector3)
cross(float, float, float)

Mathematical Definition​

\mathbf{a}\times\mathbf{b}

Parameters​

  • Vector3: 3D vector input.
  • float: scalar numeric input.

Returns​

  • Vector3: returned by overloads of this method.

Mutability​

  • Does not modify the current vector unless explicitly using a Local/Equal variant.

Edge Cases​

  • Zero vectors can produce degenerate outputs for geometric methods.
  • NaN and Infinity inputs propagate according to IEEE-754 floating-point behavior.
  • Repeated operations may accumulate floating-point precision error.

Usage Example​

Vector3 edgeA = p1.subtract(p0);
Vector3 edgeB = p2.subtract(p0);
Vector3 normal = edgeA.cross(edgeB).normalize();

Mathematical Example​

Example input/output depends on overload; for vector arithmetic operations this is typically computed per-component.

Visualization​