Vector Addition & Subtraction Calculator

Add or subtract two vectors of the same dimension component by component, and see the resulting vector, its norm, and dimension.

Input

Enter the components of two vectors with the same dimension to compute their sum (a+b) or difference (a−b) component by component.

Vector a

Enter components separated by commas, spaces, or line breaks (e.g. 1, 2, 3)

Vector b

Enter components separated by commas, spaces, or line breaks (e.g. 1, 2, 3)

Result vector

(5, 7, 9)

Norm (magnitude)

12.4499

Dimension

Component breakdown

Component	a	+	b	Result
1	1	+	4	5
2	2	+	5	7
3	3	+	6	9

Addition computes each result component as ai + bi; subtraction computes ai − bi, component by component.
The two vectors must have the same dimension (number of components). Mismatched dimensions cannot be computed.
The norm (magnitude) is the square root of the sum of squared result components: √(Σ vi²).
Components can be separated by commas, spaces, or line breaks. Negative numbers and decimals are supported.
Displayed values are rounded to about six decimal places for readability.

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