Dot product calculator

The dot product adds the products of matching vector components.

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Dot product calculator processes your input in this browser. Inputs and results are excluded from analytics. Recent tools save tool names, visit counts and last-visit times. Saved tools store only their names. Draft saving is optional and stays on this device; delete saved text with the draft controls. Loading text from a URL is optional and contacts that server; its URL and your IP address are visible to the server. An optional “Use in” action keeps a handoff in this tab. The next tool removes it on arrival and ignores it if more than a minute has passed.

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Spaces separate values; 1,000 is one value.

Vector components

Second vector

Answer

…

The dot product adds the products of matching vector components.

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

Save the current answer, then change an input to compare. This clears when you leave.

Formula and assumptions

Use the same number of components in both vectors. A zero dot product indicates perpendicular nonzero vectors.

In a list, use spaces, new lines, semicolons, or commas followed by a space. A comma between groups of three digits is a thousands separator.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Dot product calculator

The dot product adds the products of matching vector components.

Use the same number of components in both vectors. A zero dot product indicates perpendicular nonzero vectors.

Next: Basic calculator

A worked example

With vector components = 3, 4, second vector = 1, 2, the dot product is 11.

Before you use the result

Use the same number of components in both vectors. A zero dot product indicates perpendicular nonzero vectors.

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ToolOctopus. “Dot product calculator.” Updated 2026-09-26. https://tooloctopus.com/dot-product-calculator.

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