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Cross product calculator

Calculate the cross product of two three-dimensional vectors and keep the result in native vector notation.

How to use this calculator

Edit the three coordinates in each column vector. Reversing vector order reverses the sign.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

[123]×[456]\left[\begin{array}{c}1\\2\\3\end{array}\right]\times\left[\begin{array}{c}4\\5\\6\end{array}\right]

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

This operation is the 3D vector cross product, not componentwise multiplication.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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