gives the angle between the vectors u and v.
- VectorAngle gives an angle in radians.
- For nonzero real vectors the vector angle satisfies .
- For complex vectors the numerator is .
Examplesopen allclose all
Basic Examples (2)
Properties & Relations (6)
The generalization to complex vectors satisfies :
If you rotate a vector u in a plane that includes u, then the vector angle is the rotation angle:
If you rotate it in a plane that does not include u, then the angles differ:
The vector angle is related to the cross product through :
ArcTan of two arguments gives the signed vector angle between the axis and the vector:
Eigenvectors are the vectors for which the angle between and is 0:
Wolfram Research (2007), VectorAngle, Wolfram Language function, https://reference.wolfram.com/language/ref/VectorAngle.html.
Wolfram Language. 2007. "VectorAngle." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/VectorAngle.html.
Wolfram Language. (2007). VectorAngle. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VectorAngle.html