This free online calculator help you to find dot product of two vectors.

Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to find dot product of two vectors.

Calculator

Guide

Some theory

Dot product calculator

Dimension of a vectors:
Form of first vector representation:
Form of second vector representation:

Input vectors:

First vector

= {,

,

}

Second vector

= {,

,

}

a · b

Guide - Dot product calculator

To find the dot product of two vectors:

Select the vectors dimension and the vectors form of representation;

Type the coordinates of the vectors;

Press the button "=" and you will have a detailed step-by-step solution.

Entering data into the dot product calculator

You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.

Additional features of the dot product calculator

You can navigate between the input fields by pressing the keys "left" and "right" on the keyboard.

Theory. Dot product of two vectors

The dot product (inner product or scalar product) is an operation on two vectors which produces a scalar.

Dot product of two vectors a and b is a scalar quantity equal to the sum of pairwise products of coordinate vectors a and b.

For example, for vectors a = {a_{x}; a_{y}; a_{z}} and b = {b_{x}; b_{y}; b_{z}} dot product can be found using the following formula:

a · b = a_{x} · b_{x} + a_{y} · b_{y} + a_{z} · b_{z}