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Dot Product Calculator

Calculate the scalar dot product of two three-dimensional vectors. Cartesian components with matching axes.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate result.

Your result
Enter your details

Result will appear here

How Dot Product Calculator works

Calculate the scalar dot product of two three-dimensional vectors.

Cartesian components with matching axes. The result is a scalar; this page does not calculate a vector angle. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

Concept diagram for Dot Product Calculator, showing x component input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Dot Product Calculator

Follow the labelled inputs.

Enter x component

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

Input and settings
Dot Product 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 y component, z component, second vector x, second vector y, second vector z. Cartesian components with matching axes.

Tool result
Dot Product 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 result. Review the calculated result, then copy it or download the result text.

Review the details
Dot Product 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 Dot Product Calculator

Check the supplied example

The starting example produces 11. Calculate the scalar dot product of two three-dimensional vectors.

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

Use your own inputs

Read the labels for x component and y component, z component, second vector x, second vector y, second vector z. Cartesian components with matching axes.

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.

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.

Calculate the scalar dot product of two three-dimensional vectors.

Cartesian components with matching axes. The result is a scalar; this page does not calculate a vector angle. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

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 components with matching axes. The result is a scalar; this page does not calculate a vector angle. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

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

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

Dot Product Calculator: common questions

Answers about using Dot Product Calculator and understanding its results.

Which inputs does this tool accept?

Cartesian components with matching axes. The result is a scalar; this page does not calculate a vector angle. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

Can I copy or download the result?

Yes. Copy result copies the displayed text, and Download saves the same result as a text file. Calculations run in your browser without an account.

Calculate result with your input

Check the calculated result, then copy or download it.

Calculate result