This free online calculator help you to find angle between 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 angle between two vectors.

Calculator

Guide

Some theory

Angle between vectors calculator

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

Input vectors:

First vector

= {,

,

}

Second vector

= {,

,

}

Guide - Angle between vectors calculator

To find the angle between two vectors:

Select the vectors dimension and the vectors form of representation;

Type the coordinates of the vectors;

Press the button "Calculate an angle between vectors" and you will have a detailed step-by-step solution.

Entering data into the angle between vectors 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 angle between vectors calculator

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

Theory. Angle between two vectors

Definition. The angle between two vectors, deferred by a single point, called the shortest angle at which you have to turn around one of the vectors to the position of co-directional with another vector.

Angle between two vectorsa and b can be found using the following formula: