Vector Addition Calculator

Add two vectors together component by component.

⏱ Updated: 19 Sep 2026

Calculator

Free vector addition calculator: add two vectors component by component.

Vector A
Vector B
A + B
(, , )

Enter two vectors to calculate their sum.

How to Use the Vector Addition Calculator

Enter the x, y, and z components of both vectors. Their sum comes out below.

A + B = (Ax + Bx, Ay + By, Az + Bz)

Vector addition is component-by-component — no cross-multiplying, no angles involved, just matching pieces added straight across. Geometrically, it's the same thing as walking along vector A and then continuing along vector B from wherever that left off; the sum is the straight-line path from the start to the final position, regardless of the route actually taken to get there.