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.



2D-3D Vector Representation

Vector Magnitude and Angle Calculator:

INPUT PARAMETERS
Vector Form:
Vector Dimension:
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
$${ A }_{ z } = |A|\cos { { \theta }_{ z } } $$

Reference: