# Cross Product Calculator

> Calculate the cross product A × B of two 3D vectors, with step-by-step determinant method.

**URL:** https://www.calculatoranswers.com/cross-product-calculator
**Category:** Education

## Quick Answer

Compute the cross product of two 3D vectors. Enter the components of both vectors to find the resulting orthogonal vector, its magnitude, and the angle between them.

## Definition

A cross product calculator computes the vector product of two three-dimensional vectors, yielding a third vector that is perpendicular to both inputs. The calculator evaluates the product using the determinant method of a three-by-three matrix, where the first row contains unit vectors, and subsequent rows contain the components of the input vectors. It determines the magnitude and direction of the resulting vector and can show the angle between the two input vectors. This tool is widely used in physics, engineering, and linear algebra to compute torque, angular momentum, and normal vectors.

## How to Use

1. **Enter vector A components** — Input the x, y, and z coordinates for the first vector in the designated fields.
2. **Enter vector B components** — Input the x, y, and z coordinates for the second vector in the designated fields.
3. **Perform the calculation** — Click the calculate button to find the resulting vector and its magnitude.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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