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Vector Calculator

Enter two vectors to compute their dot product, magnitude, and other common vector operations used in physics and geometry. Runs entirely in your browser.

🔒 This tool runs entirely in your browser. Your files are never uploaded to a server.

Example

Vector Calculator

Vector A
(3, 4, 0)
Vector B
(1, 2, 2)

Example shown — replace it with your own vectors.

Result

A · B = 11, |A| = 5, |B| ≈ 3.0

How it works

  1. Enter the components of vector A and vector B.
  2. The tool computes the dot product and each vector's magnitude.
  3. Read off the results instantly, ready to copy.

The formula

Dot product and magnitude for a 3D vector:

A · B = AxBx + AyBy + AzBz, |A| = √(Ax² + Ay² + Az²)

Example: (3,4,0) · (1,2,2) = 3 + 8 + 0 = 11.

FAQ

What operations does this support?

Dot product, cross product (for 3D vectors), magnitude, and vector addition/subtraction — the common operations used in physics and geometry problems.

Does it work with 2D vectors too?

Yes — just leave the z-component at zero and every operation still works correctly, since 2D vectors are a special case of 3D ones.

What does the dot product tell you?

The dot product relates to the angle between two vectors — a result of zero means the vectors are perpendicular.

How we compare

FeatureOnline Tool StoreGraphing calculatorManual computation
No device neededYesNoYes
Instant, in-browser resultYesManual entrySlow
Free to useYesVariesYes

For a quick vector operation while studying or checking homework, this beats reaching for a graphing calculator.

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Paste this on your own site — it stays free, and every file still stays in your visitor's browser, not yours or ours.