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Perpendicular Vectors Condition Calculator

Online perpendicular check: zero dot product means perpendicular.

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a⊥b ⇔ a·b=0
Vector a
x
y
Vector b
x
y

📖 Tutorial | Perpendicular

1. Definition
Two vectors are perpendicular ⇔ dot product 0 (a·b=0).
2. Formula & Notation
Dota·b
3. Properties & Laws
  • Perpendicular dot 0;
  • Collinear cross 0 (contrast);
  • Zero vector undefined;
  • Use to prove right angles.
4. Steps
  1. Enter two vectors;
  2. Click "Check";
  3. Or click "Load Example".
5. Worked Examples
Example: (3,4)·(4,−3): 12−12=0, perpendicular.
6. Common Pitfalls
Use dot product;
Negative components;
Zero undefined.

❓ FAQ | Perpendicular

Condition?
Dot 0.
Vs collinear?
Dot/cross.
Zero?
Undefined.
Use?
Prove.
Example?
Perpendicular.
Angle?
90°.