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Online calculator. Angle between vectors.

An angle between two vectors, with one and the same initial point is the smallest angle that one vector can be rotated until it aligns with the other.

If an angle between

a
and
b
is θ then
cos θ
is division dot product of
a
and
b
by product of magnitudes of
a
and
b
.
 cos θ = a · b |a| · |b|

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

To find an angle between vectors online:

Select necessary for you dimension of a vectors and the form of representation of a vectors:

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

Input vectors

First vector:
a
= {
;;
}
Second vector:
b
= {
;;
}

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