Quick guide
How to use this calculator
- Choose addition or subtraction.
- Give a and b the same number of components.
- Enter every component and read the exact vector.
Calculation method
Combine matching components
Vector addition and subtraction act component by component while preserving the order of the coordinates.
Worked example
Add two 3D vectors
Add a = ⟨1,2,3⟩ and b = ⟨4,−1,2⟩.
a + b = ⟨5,1,5⟩
Supported inputs
Precision and limits
Vector size
General vectors may contain 2–8 components; three-dimensional products require exactly three.
Entry precision
Each signed decimal may contain up to 30 digits and 15 decimal places.
Square roots
Squared magnitudes remain exact. Irrational roots and normalized components are explicitly labelled approximations.