Definitions
- Describing two lines or vectors that are at right angles to each other. - Referring to a relationship between two concepts or ideas that are independent and unrelated. - Talking about a geometric transformation that preserves the length and angle measure of a figure.
- Describing two lines or surfaces that intersect at a right angle. - Referring to a vertical or upright position. - Talking about a line or plane that is at right angles to a given line or plane.
List of Similarities
- 1Both words describe a relationship between two lines or vectors that are at right angles to each other.
- 2Both words can be used in geometry and mathematics.
- 3Both words imply a right angle or 90-degree angle.
What is the difference?
- 1Usage: Orthogonal is more commonly used in mathematics and computer science, while perpendicular is more commonly used in everyday language.
- 2Scope: Orthogonal has a broader scope and can refer to a wider range of concepts, including independent variables, transformations, and matrices. Perpendicular is more limited in scope and mainly refers to lines and planes.
- 3Connotation: Orthogonal is often associated with independence and lack of correlation, while perpendicular is often associated with verticality and upright position.
- 4Usage in space: Orthogonal can be used to describe three-dimensional objects that are at right angles to each other, while perpendicular is mainly used for two-dimensional objects.
Remember this!
Orthogonal and perpendicular both describe a relationship between two lines or vectors that are at right angles to each other. However, orthogonal has a broader scope and is mainly used in mathematics and computer science to describe independent variables, transformations, and matrices. On the other hand, perpendicular is more commonly used in everyday language to describe lines and planes that intersect at a right angle.