Vector Calculator — Dot, Cross, Magnitude & Angle
Add, subtract, dot, cross, magnitude, unit vector and angle for 2D/3D vectors. Client-side and instant.
How to use
- 1 Enter the x, y, z components of vectors A and B (use 0 for 2D).
- 2 All results update instantly.
- 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
Physics & mechanics
Compute work (dot product) or torque/normal directions (cross product).
-
2
Graphics & geometry
Find surface normals and angles between directions.
-
3
Study linear algebra
Verify vector operations and the angle formula.
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
- Dot Product — Wolfram MathWorld — Wolfram MathWorld
- Cross Product — Wolfram MathWorld — Wolfram MathWorld
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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