How to Use Vector Direction Calculator
The Vector Direction Calculator works with two-dimensional and three-dimensional vectors. Select 2D or 3D, enter the vector components, and choose degree or radian output. The Vector Direction Calculator returns magnitude, direction, and unit vector details.
Formula & Theory — Vector Direction Calculator
The Vector Direction Calculator uses:
theta = atan2(y, x)
|v| = sqrt(x^2 + y^2 + z^2)
alpha = arccos(x/|v|)
beta = arccos(y/|v|)
gamma = arccos(z/|v|)
The 2D angle is measured from the positive x-axis. The 3D angles measure direction relative to each coordinate axis.
Use Cases for Vector Direction Calculator
Use the Vector Direction Calculator for analytic geometry, force direction, velocity vectors, displacement vectors, engineering diagrams, and physics homework. It helps turn components into interpretable direction information.