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Definition of Vector Calculator

Online vector magnitude: enter components (x,y) for the magnitude and unit vector.

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|a|=√(x²+y²)
Components (x,y)
x
y

📖 Tutorial | Vector

1. Definition
A vector has magnitude and direction; for (x,y), |a|=√(x²+y²) and the unit vector is a/|a|.
2. Formula & Notation
Components, magnitudeUnit vector
3. Properties & Laws
  • Magnitude non-negative;
  • Unit vector length 1;
  • Zero vector has no unit vector;
  • Components from endpoint minus start.
4. Steps
  1. Enter x,y;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: (3,4): magnitude 5, unit (0.6,0.8).
6. Common Pitfalls
Zero vector special;
Non-negative;
Components.

❓ FAQ | Vector

Vector?
Magnitude and direction.
Magnitude?
√(x²+y²).
Unit?
Length 1.
Zero?
Length 0.
Example?
5.
Components?
Endpoint minus start.