Vector magnitude calculator

Vector magnitude is the square root of the sum of squared components.

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Vector magnitude 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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Vector magnitude is the square root of the sum of squared components.

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Formula and assumptions

Enter 1 to 10 real components in the same units. This is the Euclidean length; signs do not change a component’s contribution to length.

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 Vector magnitude calculator

Vector magnitude is the square root of the sum of squared components.

Enter 1 to 10 real components in the same units. This is the Euclidean length; signs do not change a component’s contribution to length.

Next: Basic calculator

A worked example

With vector components = 3, 4, the magnitude is 5.

Before you use the result

Enter 1 to 10 real components in the same units. This is the Euclidean length; signs do not change a component’s contribution to length.

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

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