Cross Product Calculator
Easily calculate the cross product of two 3D vectors online. Input vector components and get instant results with visual representation and formula. Free and user-friendly!
Vector a
Vector b
Result:
Understanding Cross Product
The cross product, also known as the vector product, is a binary operation on two vectors in three-dimensional space. It results in a vector that is perpendicular to both of the input vectors.
Formula: For two vectors $$\vec{a} = (a_x, a_y, a_z)$$ and $$\vec{b} = (b_x, b_y, b_z)$$, their cross product $$\vec{a} \times \vec{b}$$ is calculated as:
Applications: The cross product has numerous applications in physics and engineering, including calculating torque, angular momentum, and magnetic forces. It is also used in computer graphics for surface normals and lighting calculations.
Learn more about cross product on Wikipedia.