Vector algebra

2D Vector Calculator

Add or subtract 2D vectors and read the resultant as both components and a direction.

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Formula

(x1, y1) + (x2, y2) = (x1 + x2, y1 + y2)

Result

Worked substitution


          

Component calculations keep vector operations transparent.

Read the result

Components tell you what happens in each axis. The drawn resultant shows the single movement that has the same overall effect.

Where it helps

Use this for displacement, velocity, force components, and quick resultant checks in plane problems.

Common slip

Subtraction is not the same as reversing both vectors. A - B means add the negative of B to A.

Try it

Choose B = -A. The resultant should be the zero vector and the direction should become undefined.