Calculator

What the Vector Calculator does

Vector Calculator: calculates A + B, |A| and |B| from Vector A: x, Vector A: y and Vector B: x. Example: vector A: x 3, vector A: y 4 and vector B: x 1 gives a + b 4, 6.

A + B, |A| and |B|, derived from Vector A: x, Vector A: y, Vector B: x and Vector B: y. Each change is reflected immediately, which suits quick what-if comparisons.

A second opinion on a calculation takes seconds and prevents errors compounding. The Vector Calculator exists to take that particular chore off your hands.

No sign-up, no data collection, no processing queue, just code running locally.

If you want to check the arithmetic, the field table, the method and a worked example are further down.

What do the Vector Calculator fields mean?

The Vector Calculator uses 4 inputs. Every box starts with a working value, so there is a real result on screen before you touch anything.

FieldWhat to enterDefault
Vector A: x required 3
Vector A: y required 4
Vector B: x required 1
Vector B: y required 2

How does the Vector Calculator work?

A + B, |A|, |B| and What this means ← f(Vector A: x, Vector A: y, Vector B: x, Vector B: y)

Each output is derived from the inputs above in a single pass; there is no hidden state carried between runs, so the same inputs always give the same calculation.

Values are checked first: an out-of-range or non-numeric entry names the offending field instead of returning nonsense.

Worked example

These are the values the Vector Calculator loads by default, and the result it produces from them. The figures are the tool’s live defaults and its live output, so you can reproduce them exactly.

Inputs
Vector A: x3
Vector A: y4
Vector B: x1
Vector B: y2
Result
A + B4, 6
|A|5.000000
|B|2.236068
What this meansA+B = (4, 6)

How to use it

  1. Fill in Vector A: x.
  2. Type Vector A: y.
  3. Enter Vector B: x.
  4. Set Vector B: y.
  5. Watch the results panel as you type: it recalculates on every keystroke.
  6. The panel reports A + B, |A|, |B| and What this means.
  7. The link encodes your inputs, so saving it is enough to reproduce the result later.

What this tool does not do

  • Displayed values are rounded; the underlying calculation keeps full precision.
  • Very large or very small values reach the limits of floating-point precision, about 15 significant digits.
  • Assumptions built into the method are stated above, but they are still assumptions.

Frequently asked questions

You need Vector A: x, Vector A: y, Vector B: x and Vector B: y. Defaults are loaded for all of them, meaning you can explore the calculation before committing to real figures.

With the values loaded when the page opens, a + b comes out as 4, 6. That number tracks the inputs, so a small edit shows its sensitivity immediately.

No record is kept. We never receive what you type, so there is nothing on our side to retain.

Free, and there is no upsell. The whole tool is the free version.

The calculation is exact for the method described above. Where a value is rounded for display, the underlying figure keeps full precision.

YoursTools Team
Product & Engineering

Builds and maintains every calculator on YoursTools.