Vector Calculator
Despite the general name, this tool adds two equal-length vectors component by component and reports the magnitude of each vector. For A = 3,4 and B = 1,2 it returns A + B = (4, 6), |A| = 5, and |B| = 2.2361.
What this calculator does
The Vector Calculator estimates your result instantly from the values you enter, using standard math & conversions formulas. Despite the general name, this tool adds two equal-length vectors component by component and reports the magnitude of each vector. For A = 3,4 and B = 1,2 it returns A + B = (4, 6), |A| = 5, and |B| = 2.2361. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Vector Calculator
The Vector Calculator takes two comma-separated vectors of the same length and returns their component-wise sum along with the magnitude of each vector. It does not compute dot products or cross products.
Formula & Mathematical Calculation
A + B = f(Vector A (comma-separated), Vector B (comma-separated))
Calculated according to standard math formulas implemented in the calculator core.
Calculation Example
Enter Vector A as 3,4 and Vector B as 1,2, then Calculate. A + B shows (4, 6), Magnitude of A shows 5, and Magnitude of B shows 2.2361.
Key Benefits
- Adds two vectors of any matching length component by component
- Reports the magnitude (length) of both vector A and vector B
- Checks that both vectors have the same number of components before calculating
How to Use this Calculator
-
Enter Vector A
Type the components of Vector A separated by commas, for example 3,4. -
Enter Vector B
Type Vector B with the same number of components, for example 1,2. -
Calculate and read
Click Calculate and read the A + B, Magnitude of A, and Magnitude of B boxes.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Vector Calculator produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.