Vector Angle Calculator

Find the angle between two nonzero 3D vectors in degrees. Cartesian vectors.

Free to useNo sign-upRuns in your browser

Enter your details

Enter the inputs, then select Calculate.

Your result

Enter your details

Result will appear here

How Vector Angle Calculator works

Find the angle between two nonzero 3D vectors in degrees.

Cartesian vectors. Zero vectors have no defined angle. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

Concept diagram for Vector Angle Calculator, showing first vector x input and the supported output. — Concept diagram; the three operation images are actual browser captures.

How to use Vector Angle Calculator

Follow the labelled inputs.

Enter first vector x

Replace the example with first vector x. The field labels specify the expected format and units.

Calculate

Vector Angle Calculator: input and settings in the implemented browser tool — Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set first vector y, first vector z, second vector x, second vector y, second vector z. Cartesian vectors.

Calculate

Vector Angle Calculator: tool result in the implemented browser tool — Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Calculate

Vector Angle Calculator: review the details in the implemented browser tool — Actual local browser view. Open the image to read it at full size.

Examples and uses for Vector Angle Calculator

Check the supplied example

The starting example produces 90°. Find the angle between two nonzero 3D vectors in degrees.

Calculate

Abstract input values and a mathematical worksheet. — Start with the values. Concept illustration.

Use your own inputs

Read the labels for first vector x and first vector y, first vector z, second vector x, second vector y, second vector z. Cartesian vectors.

Calculate

Two calculation examples shown for comparison. — Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

Calculate

A calculation and supporting explanation represented conceptually. — Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Find the angle between two nonzero 3D vectors in degrees.

Cartesian vectors. Zero vectors have no defined angle. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

Calculate Calculate

A mathematical result connected to the values used to calculate it. — Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Cartesian vectors. Zero vectors have no defined angle. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

The input stays in this browser. Copy result and Download save the same displayed text.

Calculate Calculate

Values and units reviewed before relying on a mathematical result. — Check values and units. Concept illustration.

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Vector Angle Calculator: common questions

Answers about using Vector Angle Calculator and understanding its results.

What assumptions and input limits apply?

Cartesian vectors. Zero vectors have no defined angle. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

How can I save the output?

Use Copy result to copy the displayed text, or Download to save it as a text file. The tool runs in your browser and does not require an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate