Calculatrice de Magnitude de Vecteur — Formule
Vector Magnitude
Formula
For 2D vectors (z = 0): A unit vector has magnitude 1 and points in the same direction: v_hat = v / )v = sqrt(x² + y² + z²) v = sqrt(x² + y²) Unit Vector
v = (x/ v , y/ v , z/ v
Direction (2D)
The angle from the positive x-axis: theta = arctan(y/x)
Exemple Résolu
Find the magnitude and unit vector of (3, 4, 0).
- |v| = √(9 + 16 + 0) = √25 = 5
- Unit vector = (3/5, 4/5, 0) = (0.6, 0.8, 0)
- Direction = arctan(4/3) ≈ 53.13°