Vector Magnitude Calculator
Calculate vector magnitude, unit vector, direction angles, and various norms for 2D, 3D, and 4D vectors.
Vector Input
Vector:
v = (3, 4, 0)
Magnitude (|v|)
5.00000000
|v|² = 25.0000
Unit Vector (v̂)
(0.600000, 0.800000, 0.000000)
|v̂| = 1
Vector Norms
L² (Euclidean)
5.000000
L¹ (Manhattan)
7.000000
L∞ (Max)
4.000000
L³
4.497941
Direction Angles
α (x-axis)
53.13°
β (y-axis)
36.87°
γ (z-axis)
90.00°
Component Contribution
x:
36.0%
y:
64.0%
z:
0.0%
Calculation
√(3² + 4² + 0²) = √25.0000 = 5.000000