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Vector Calculator — Dot, Cross, Magnitude & Angle

Add, subtract, dot, cross, magnitude, unit vector and angle for 2D/3D vectors. Client-side and instant.

Free No signup Client-side Privacy friendly Updated
Vector A (x, y, z)
Vector B (x, y, z)

How to use

  1. 1 Enter the x, y, z components of vectors A and B (use 0 for 2D).
  2. 2 All results update instantly.
  3. 3 Cross product and angle assume 3D vectors.

Why use this tool

  • Dot product, cross product, magnitude, unit vector and the angle between.
  • Works for 2D and 3D vectors.
  • Runs entirely in your browser.

Frequently asked questions

What is the dot product?

A·B = aₓbₓ + a_yb_y + a_zb_z. It is zero when the vectors are perpendicular.

What is the cross product?

A×B is a vector perpendicular to both A and B (3D only); its magnitude equals |A||B|sin θ.

How is the angle between vectors found?

From cos θ = (A·B) / (|A||B|); the result is shown in degrees.

What is a unit vector?

A vector of length 1 in the same direction — each component divided by the magnitude.

What is Vector Calculator?

A vector calculator performs operations on 2D and 3D vectors — addition, subtraction, dot and cross products, magnitude, unit vector and the angle between them.

Features

Dot, cross & angle

Scalar dot product, vector cross product, each vector's magnitude, and the angle between them.

Live 3-D results

Enter x, y, z for two vectors and see every quantity update instantly.

Free & private

Runs on your device — nothing is uploaded.

Example

Input

A = (1, 2, 3), B = (4, 5, 6)

Output

dot = 32 · cross = (−3, 6, −3)

Common use cases

  1. 1

    Physics & mechanics

    Compute work (dot product) or torque/normal directions (cross product).

  2. 2

    Graphics & geometry

    Find surface normals and angles between directions.

  3. 3

    Study linear algebra

    Verify vector operations and the angle formula.

Summary

Zerethon's vector calculator computes the dot product, cross product, magnitudes, and the angle between two 3-D vectors in your browser. All results update live as you edit components. Everything runs client-side — nothing is uploaded.

Category
Math
Pricing
Free
Privacy
Browser-based
Signup
Not required

References

Privacy

Your data never leaves your browser unless explicitly stated. Vector Calculator runs entirely client-side — no server upload, no logging, no tracking of your input.

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