Use our Vector Addition Calculator to find the resultant vector's magnitude and direction quickly and accurately. This tool applies the Law of Cosines, simplifying complex physics and engineering problems. Input two vector magnitudes and the angle between them to get your answer instantly.
Formula:
Resultant Magnitude (R): R = √(V₁² + V₂² + 2V₁V₂ cos(θ))
Direction (α): α = arcsin(((V₂ × sin(θ)) / R))
Where:
R: Magnitude of the resultant vectorV₁: Magnitude of Vector 1V₂: Magnitude of Vector 2θ: Angle between Vector 1 and Vector 2 (in degrees, tail-to-tail)α: Angle of the resultant vector relative to Vector 1 (in degrees)