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Dot product calculator

Calculate the scalar product of two vectors by multiplying matching coordinates and adding them.

How to use this calculator

Edit the vector entries. The example evaluates 1×4+2×5+3×61\times4+2\times5+3\times6.

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]\cdot\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

Both vectors need the same dimension. A dot product returns a scalar, unlike a cross product.

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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