Unit vector calculator

Divide each component by the vector’s magnitude to get a unit vector in the same direction.

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Unit vector 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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Vector components

Answer

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Divide each component by the vector’s magnitude to get a unit vector in the same direction.

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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

The zero vector has no defined unit vector. Up to 10 components are accepted; output components are rounded to 12 significant digits.

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 Unit vector calculator

Divide each component by the vector’s magnitude to get a unit vector in the same direction.

The zero vector has no defined unit vector. Up to 10 components are accepted; output components are rounded to 12 significant digits.

Next: Basic calculator

A worked example

With vector components = 3, 4, the unit vector is 0.6, 0.8.

Before you use the result

The zero vector has no defined unit vector. Up to 10 components are accepted; output components are rounded to 12 significant digits.

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ToolOctopus. “Unit vector calculator.” Updated 2026-09-26. https://tooloctopus.com/unit-vector-calculator.

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