Code tool

Vector Cross Product Calculator

Enter three components for each vector to calculate u × v.

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3D vector cross product

Right-handed Cartesian coordinates; order matters.

Cross product (x, y, z): —

A QUICK WALKTHROUGH

How to use this tool

  1. Enter x, y and z components of vector u.
  2. Enter components of vector v.
  3. Review the resulting vector.

Formula and order

u×v=(u₂v₃−u₃v₂, u₃v₁−u₁v₃, u₁v₂−u₂v₁). Order matters: v×u=−(u×v).

Coordinate system

Assumes a right-handed Cartesian coordinate system. Local calculation only.

GOOD TO KNOW

Common questions

Does swapping vectors change the result?

Yes. Swapping order reverses the result vector.