Dot Product Calculator

Calculate the dot product of two vectors instantly with our free online tool. Get step-by-step solutions and understand the underlying mathematics.

Vector mathematics illustration

Dot Product Calculator

Vector A

Vector B

Result

Enter vector components and click "Calculate"

Understanding the Dot Product

What is Dot Product?

The dot product is an algebraic operation that takes two equal-length sequences of numbers and returns a single number. Learn more about dot product definition and formula.

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How to Calculate

For vectors A and B, the dot product is calculated as A·B = AxBx + AyBy + AzBz. See worked examples of dot product calculations.

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Applications

Dot products are used in physics, computer graphics, machine learning, and more. Discover real-world applications of dot product in various fields.

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