Unit Converters · Free tool
Vector Calculator
Calculate 2D and 3D vector math: magnitude, normalize, sum, dot, cross, and angle between. Built for physics and graphics work. Free, instant, no sign-up.
|A| magnitude
5
|B| magnitude
3
 (unit A)
[0.6, 0.8, 0]
B̂ (unit B)
[0.333333, 0.666667, 0.666667]
A + B
[4, 6, 2]
A − B
[2, 2, -2]
A · B (dot)
11
A × B (cross)
[8, -6, 2]
Angle between
42.8334° (0.747584 rad)
Cross product available in 3D only. For pure linear algebra (matrices), see the matrix determinant calculator.
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What it does
2D or 3D vector math: magnitude, normalize, sum, difference, dot product, cross product (3D), and the angle between two vectors. Useful for physics, computer graphics, and linear algebra problem sets.
For square-matrix work, see the matrix determinant calculator.
Embed this tool on your siteShow snippetHide
Paste this snippet into any page. Loads on-demand (lazy), no tracking scripts, and sized to most dashboards. Replace the height to fit your layout.
<iframe src="https://freetoolarena.com/embed/vector-calculator" width="100%" height="720" frameborder="0" loading="lazy" title="Vector Calculator" style="border:1px solid #e2e8f0;border-radius:12px;max-width:720px;"></iframe>How to use it
- Pick 2D or 3D.
- Enter each vector as comma-separated numbers.
- Read magnitudes, unit vectors, dot product, cross product, and angle.
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