Definitions
- Describing three or more points that do not lie on the same straight line. - Referring to geometric figures that do not share a common point of intersection. - Talking about vectors that do not lie on the same line or plane.
- Describing two or more lines that do not have the same slope and do not intersect. - Referring to geometric figures that do not share a common parallel line. - Talking about vectors that do not have the same direction or magnitude.
List of Similarities
- 1Both words describe geometric concepts.
- 2Both words have the prefix 'non-' which means 'not'.
- 3Both words describe relationships between lines, points, or vectors.
- 4Both words are used in mathematics and geometry.
What is the difference?
- 1Definition: Noncollinear refers to points that do not lie on the same line, while nonparallel refers to lines that do not have the same slope and do not intersect.
- 2Usage: Noncollinear is used to describe points, geometric figures, and vectors, while nonparallel is used to describe lines and geometric figures.
- 3Relationship: Noncollinear describes a relationship between points, while nonparallel describes a relationship between lines.
- 4Intersection: Noncollinear figures may intersect at a point, while nonparallel figures do not intersect.
- 5Magnitude: Nonparallel vectors may have the same direction but different magnitudes, while noncollinear vectors do not lie on the same line or plane.
Remember this!
Noncollinear and nonparallel are both mathematical terms used to describe relationships between geometric figures. The difference between them is that noncollinear refers to points that do not lie on the same line, while nonparallel refers to lines that do not have the same slope and do not intersect. Noncollinear is used to describe points, geometric figures, and vectors, while nonparallel is used to describe lines and geometric figures.
