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Parallel Vectors Condition Calculator

Online collinearity check: zero cross product means collinear, b=λa.

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a∥b ⇔ x₁y₂=y₁x₂
Vector a
x
y
Vector b
x
y

📖 Tutorial | Collinear

1. Definition
Two vectors are collinear ⇔ cross product 0 (x₁y₂=y₁x₂) ⇔ b=λa.
2. Formula & Notation
λMultiple
3. Properties & Laws
  • Includes same/opposite direction;
  • Zero vector collinear with all;
  • Cross product 0;
  • b=λa.
4. Steps
  1. Enter two vectors;
  2. Click "Check";
  3. Or click "Load Example".
5. Worked Examples
Example: (1,2),(3,6): cross 0, collinear, b=3a.
6. Common Pitfalls
Opposite allowed;
Zero special;
Use cross, not dot.

❓ FAQ | Collinear

Condition?
Cross 0.
Zero?
All.
λ?
b=λa.
Vs equal?
Opposite ok.
Example?
Collinear.
Perpendicular?
Dot 0.