Wolfram Research

Function Repository Resource:

SignedVectorAngle

Source Notebook

A version of VectorAngle for 2D vectors that can return negative angles

Contributed by: Jon McLoone

ResourceFunction["SignedVectorAngle"][u,v]

gives the angle between the 2D vectors u and v, returning a positive number if v is counterclockwise relative to u and negative if clockwise.

Examples

Basic Examples

Return the angle between two vectors:

In[1]:=
ResourceFunction["SignedVectorAngle"][{1, 0}, {0, 1}]
Out[1]=

If the second vector is clockwise from the first vector, the result is negative:

In[2]:=
ResourceFunction["SignedVectorAngle"][{0, 1}, {1, 0}]
Out[2]=

Properties and Relations

The absolute value of SignedVectorAngle is always the same as VectorAngle:

In[3]:=
Abs[ResourceFunction["SignedVectorAngle"][{0, 1}, {1, 0}]]
Out[3]=
In[4]:=
VectorAngle[{0, 1}, {1, 0}]
Out[4]=

Resource History

License Information