Component-wise vector arithmetic

Vector Addition Calculator

Add or subtract two 2D or 3D vectors component by component.

Enter vectors

Vector dimensions
Operation
Vector A
Vector B

Result

Initializing.

Formula and worked example

Formula: A ± B = (a₁ ± b₁, a₂ ± b₂, …)

For A = (1, 2) and B = (3, 4), A + B = (4, 6).

Method and limitations

Components are parsed as finite decimal values, normalized internally as numeric arrays, and calculated with deterministic browser floating-point arithmetic. Supported dimensions are 2D and 3D.

The result magnitude is supplementary. This page does not calculate matrix sums or cross products.

Inputs are bounded to absolute values from 10⁻¹⁰⁰ through 10¹⁰⁰ when nonzero. Results are rounded only for display.

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