Dot Product Calculator

Last updated: Math Calculators

Dot Product Calculator

Enter components of Vector A and B separately.

About This Calculator

This calculator computes the dot product of two 3D vectors, a key operation in vector algebra. The result is a scalar value representing the product of the vectors' magnitudes and the cosine of the angle between them.

How It Works

The dot product is calculated by multiplying corresponding components of the two vectors and adding the results. For vectors A and B, the formula is:

\vec{A} \cdot \vec{B} = \sum_{i=1}^3 A_i \times B_i

To use this calculator, enter each component of Vector A and Vector B separately in the input fields, then click "Calculate" to see the result and detailed steps.

Frequently Asked Questions

What is the dot product?

The dot product is a scalar that combines two vectors by multiplying corresponding components and summing the results. It relates to the angle between the vectors.

Can I use vectors with different dimensions?

No, this calculator only supports 3-dimensional vectors with exactly 3 components each.

How should I enter the vector components?

Use the provided input fields to enter each component of Vector A and Vector B separately. All values must be valid numbers.