# VECTOR MAGNITUDE ANGLE CALCULATOR

Vector magnitude and angle calculator finds magnitude and direction angle of a vector from its components or vice versa. The calculator can be used for calculation of 2D and 3D vectors magnitudes and direction angles.

### Vector Magnitude and Angle Calculator:

 INPUT PARAMETERS Vector Form: Vector ComponentsMagnitude and Angle Vector Dimension: 2D Vector3D Vector VECTOR COMPONENTS Vector
 MAGNITUDE AND ANGLE(S) |A| θx (deg) θy (deg) θz (deg)

Note: Use dot "." as decimal separator.

 RESULTS Parameter Symbol Value Unit Vector Components --- --- --- --- Magnitude of Vector A --- Direction Angle θx --- deg θy --- θz ---

### List of Equations:

 Parameter Equation 3D vector components $$\vec { A } ={ A }_{ x }\hat { x } +{ A }_{ y }\hat { y } +{ A }_{ z }\hat { z }$$ Vector x component and angle/magnitude relation $${ A }_{ x } = |A|\cos { { \theta }_{ x } }$$ Vector y component and angle/magnitude relation $${ A }_{ y } = |A|\cos { { \theta }_{ y } }$$ Vector z component and angle/magnitude relation $${ A }_{ z } = |A|\cos { { \theta }_{ z } }$$