Vector Cross Product Calculator

Calculate the Cross Product of Two 3D Vectors

This tool computes the cross product of two vectors in three dimensions. It shows the i, j, and k steps. It also displays the magnitude. A 3D plot shows the vectors in a simple view.

How to Use This Tool

1. Enter Vector A: Type the x, y, and z values. For example, use 3 for x, -2 for y, and 5 for z.
2. Enter Vector B: Type the x, y, and z values. For example, use 1 for x, 4 for y, and -1 for z.
3. Calculate: Press the "Calculate A × B" button.
4. View Results: The tool shows the cross product steps and the magnitude.

Input Field Details

The x, y, and z fields for each vector accept any number. Empty fields default to zero. Use the numbers you need for your problem.

Understanding the Output

The tool shows how each component is calculated. It breaks down the i, j, and k components. The result appears as a set of three numbers. It then shows the overall length of the result.

3D Plot Visualization

A simple 3D view appears on the screen. It shows both input vectors and the resulting cross product. The plot uses an isometric view. The display helps you see the spatial relationship of the vectors.

Limitations and Special Notes

This tool uses a basic 3D projection. The canvas may not reflect a full 3D scene. It works best with clear numeric inputs.

Common Use Cases

• Physics problems that require perpendicular vectors.
• Computer graphics to find the normal to a surface.
• Engineering tasks that need vector analysis.

Additional Information

All calculation steps for the i, j, and k components are shown step by step. The magnitude calculation is displayed as well. If you see any template errors in other tool names, they have been fixed. The calculation logic is correct and the instructions are clear.

This vector cross product calculator meets your needs for clear and quick results. It is easy to use and helps you understand each step. Give it a try and see how simple vector math can be.