Vector Calculator

Perform common vector operations: magnitude, addition, subtraction, and dot product.

⏱ Updated: 19 Sep 2026

Calculator

Free vector calculator: magnitude, addition, subtraction, and dot product.

Vector A
Vector B

Choose an operation to calculate a vector's magnitude, or add, subtract, or dot two vectors.

How to Use the Vector Calculator

Pick an operation — Magnitude, Add, Subtract, or Dot Product — enter the vector components it needs, and the result updates below.

Magnitude:    |A| = √(Ax² + Ay² + Az²)
Add:          A + B = (Ax+Bx, Ay+By, Az+Bz)
Subtract:     A − B = (Ax−Bx, Ay−By, Az−Bz)
Dot Product:  A · B = Ax·Bx + Ay·By + Az·Bz

These four operations cover most of what actually comes up day to day with vectors, which is why this page bundles them behind one mode switch rather than sending every visitor hunting across four separate calculators for whichever one they need. Anything more specialized — cross products, projections, unit vectors — gets its own dedicated page elsewhere on this site.