Vector Addition Calculator
A free, browser-based calculator. Runs entirely in your browser — no sign up, nothing stored.
100% FreeRuns in your browserBasic
Enter Values
Enter your values and press Calculate to see results.
How to use this calculator
- Enter the x and y components of both vectors.
- Read the resultant, magnitude and direction.
How it works
Add the components: resultant = (ax+bx, ay+by). Magnitude = √(x²+y²); direction = atan2(y, x).
Worked example
(3,4) + (1,2). = (4,6), magnitude 7.21, 56.31°.
Common mistakes
- Adding magnitudes directly — you must add the components, not the lengths.
- Mixing up the angle reference (this is measured from the +x axis).
Frequently asked questions
What direction is 0°?
Along the positive x-axis, increasing anticlockwise — standard mathematical convention.
Related tools
Tip: Enter any known values to calculate the remaining results.
All calculations run in your browser. Your inputs are never saved or transmitted.