Mathematical Calculators

Angle Between Two Vectors Calculator

This online tool calculates the angle between two vectors and has all the possible vector combinations.

Calculate Angle between two vectors

Vectors in:

Vector A

Vector B

Table of contents

What is the angle between two vectors?
How do you calculate the angle between two vectors?
Is the angle a vector quantity?

What is the angle between two vectors?

The angle between two vectors is the shortest angle at which one of the vectors is rotated around the other vector to have the same direction; in other words, they are co-directional. This means that the vectors have one single starting point when finding the joint angle between them.
The precise definition of an angle between two vectors will be the dot product (the vectors) divided by the vector's intensity or magnification.

How do you calculate the angle between two vectors?

The formula below can be used for calculating the angle between two vectors:
cos θ = A . B / |A| |B|
θ: the angle between the vectors
A: the 1st vector
B: the 2nd vector
. : the dot product of the vectors
|A|: the magnitude of the 1st angle
|B|: the magnitude of the 2nd angle

Is the angle a vector quantity?

The angle can be described as a vector without dimension. It has magnitude as well as direction. Based on their rotation behavior, we can measure clockwise and contraclockwise angles. This angle is, therefore, a vector quantity.

Parmis Kazemi
Article author
Parmis Kazemi
Parmis is a content creator who has a passion for writing and creating new things. She is also highly interested in tech and enjoys learning new things.

Angle Between Two Vectors Calculator English
Published: Mon Dec 20 2021
In category Mathematical calculators
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