Cross product calculator

Compute the three-dimensional cross product u × v using the right-hand rule.

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Cross 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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First vector x, y, z

Second vector x, y, z

Answer

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Compute the three-dimensional cross product u × v using the right-hand rule.

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Formula and assumptions

Order matters: reversing the vectors reverses the answer. This operation is restricted to three components per vector.

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 Cross product calculator

Compute the three-dimensional cross product u × v using the right-hand rule.

Order matters: reversing the vectors reverses the answer. This operation is restricted to three components per vector.

Next: Basic calculator

A worked example

With first vector x, y, z = 1 0 0, second vector x, y, z = 0 1 0, the cross product is 0 0 1.

Before you use the result

Order matters: reversing the vectors reverses the answer. This operation is restricted to three components per vector.

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

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