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57 lines
1.5 KiB
Markdown
57 lines
1.5 KiB
Markdown
---
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layout: default
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---
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<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
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<h1 id="function-cross">Function cross <a href="#function-cross" title="Permalink">#</a></h1>
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Calculate the cross product for two vectors in three dimensional space.
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The cross product of `A = [a1, a2, a3]` and `B = [b1, b2, b3]` is defined
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as:
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cross(A, B) = [
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a2 * b3 - a3 * b2,
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a3 * b1 - a1 * b3,
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a1 * b2 - a2 * b1
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]
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If one of the input vectors has a dimension greater than 1, the output
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vector will be a 1x3 (2-dimensional) matrix.
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<h2 id="syntax">Syntax <a href="#syntax" title="Permalink">#</a></h2>
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```js
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math.cross(x, y)
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```
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<h3 id="parameters">Parameters <a href="#parameters" title="Permalink">#</a></h3>
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Parameter | Type | Description
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--------- | ---- | -----------
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`x` | Array | Matrix | First vector
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`y` | Array | Matrix | Second vector
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<h3 id="returns">Returns <a href="#returns" title="Permalink">#</a></h3>
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Type | Description
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---- | -----------
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Array | Matrix | Returns the cross product of `x` and `y`
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<h2 id="examples">Examples <a href="#examples" title="Permalink">#</a></h2>
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```js
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math.cross([1, 1, 0], [0, 1, 1]) // Returns [1, -1, 1]
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math.cross([3, -3, 1], [4, 9, 2]) // Returns [-15, -2, 39]
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math.cross([2, 3, 4], [5, 6, 7]) // Returns [-3, 6, -3]
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math.cross([[1, 2, 3]], [[4], [5], [6]]) // Returns [[-3, 6, -3]]
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```
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<h2 id="see-also">See also <a href="#see-also" title="Permalink">#</a></h2>
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[dot](dot.html),
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[multiply](multiply.html)
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