Use our Multiple Vectors Addition Calculator to quickly find the resultant vector from any number of 2D vectors. Input the X and Y components for each vector, and get the total X and Y components, overall magnitude, and direction. Simplify complex vector problems for physics, engineering, and mathematics.
Formula:
To add multiple vectors V1, V2, ..., Vn, we sum their corresponding components:
- Resultant X (Rx): Rx = x1 + x2 + ... + xn
- Resultant Y (Ry): Ry = y1 + y2 + ... + yn
Once you have Rx and Ry, the Magnitude (|R|) and Direction (θ) of the resultant vector R are found using:
- Magnitude |R|: |R| = √(Rx2 + Ry2)
- Direction θ: θ = atan2(Ry, Rx) (angle in degrees, measured counter-clockwise from the positive X-axis)