Vector Coordinate System Converter

How to use: Select your input and output coordinate systems, enter your vector components, then click Convert.

Angle units: All angles are in radians. Use degrees × π/180 to convert.

Input Values:

Coordinate System Diagrams:

Cartesian Coordinates

Result:

Enter values and click Convert to see results

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This tool converts vectors between different coordinate systems. It handles Cartesian, Cylindrical, and Spherical formats.

How to Use This Tool

Follow these steps to convert your vector.

Step 1: Select the Input Format

Click the dropdown labeled "Convert from." Pick Cartesian, Cylindrical, or Spherical.

Step 2: Enter Your Data

If you choose Cartesian, enter the x, y, and z values. For Cylindrical or Spherical, enter your r, θ, z or r, θ, φ values. The fields change based on your choice.

Step 3: Choose the Output Format and Convert

Select the "Convert to" option from the dropdown. Then click the "Convert Vector" button to see the result.

Input Field Explanations

The tool asks for the following values:

Interpreting the Output

The result shows the vector values in your chosen format.

If you pick angles, the tool gives them in radians. It also displays degree conversions for clarity.

Limitations and Special Notes

All angles are in radians. Convert degrees using the formula: degrees × π/180.

Make sure that the radial distance (r) is not negative in Cylindrical or Spherical formats.

The tool performs simple calculations. It does not account for rounding errors beyond four decimal places.

Visual Diagram of Coordinate Systems

A visual diagram shows how vectors appear in each coordinate system. The diagram updates based on your selection. This helps you visualize the conversion.

Common Use Cases

This converter helps with problems in geometry and physics. It suits students who need to switch formats for homework. It also serves professionals who work with spatial data.

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