Vector Addition Calculator
Add vectors in 2D and 3D. Calculate resultant magnitude, direction, and unit vectors. Supports component and polar forms.
Vector 1
= 5 at 53.1301°
Vector 2
= 2.2361 at 63.4349°
Vector Diagram
Resultant Vector
4
x component
6
y component
7.2111
Magnitude
56.3099°
Direction
Vector Sum
R = (4, 6)
|R| = 7.2111
θ = 56.3099°

Vector Addition Formulas

Rx = Σ(Ai × cos θi) or Σxi
Ry = Σ(Ai × sin θi) or Σyi
|R| = √(Rx² + Ry²)
θ = atan2(Ry, Rx)

Conversions:

  • Polar to Cartesian: x = r cos θ, y = r sin θ
  • Cartesian to Polar: r = √(x² + y²), θ = atan2(y, x)

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