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2D Vector Addition Calculator

Easily calculate the sum of two 2D vectors using their x and y components. This calculator is ideal for students, engineers, and anyone working with vector mathematics. Just enter the coordinates of each vector, and get the resulting vector instantly.

Add Two 2D Vectors Online

Input Fields
If enabled, the result will update automatically when you change any value.

Vector Addition Formula in Two Dimensions

Formula
\( \vec{R} = \vec{A} + \vec{B} = (A_x + B_x,\; A_y + B_y) \)

To add two 2D vectors, simply add their corresponding components: the x-values together and the y-values together. The resulting vector represents the combined direction and magnitude of the original vectors.

The 2D Vector Addition Calculator computes the resulting vector from two input vectors in a two-dimensional space. Each vector is defined by its horizontal (x) and vertical (y) components. The addition of vectors is performed component-wise, meaning the x-components are added together, and the y-components are added together:

Input:

  • Vector A = (Ax, Ay)
  • Vector B = (Bx, By)

Result:

  • Vector R = (Ax + Bx, Ay + By)

This operation is fundamental in physics, engineering, navigation, and computer graphics. The calculator helps visualize and simplify problems involving displacement, velocity, force, or other directional quantities.

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One thought on “2D Vector Addition Calculator

  1. очень полезно