collinear
Definition
- Adjective:
- Lying on the same line: Describes points or vectors that are positioned along a single, straight line.
Usage
- The word "collinear" is a technical term used primarily in geometry, mathematics, and physics.
- It is used to describe a specific spatial relationship between two or more points or vectors.
- It is typically used as a predicate adjective (e.g., "The points are collinear") or attributively before a noun (e.g., "collinear points").
Examples
- Adjective:
- Three or more points are said to be collinear if they lie on a single straight line.
- In the diagram, points A, B, and C are collinear.
- For the vectors to be collinear, one must be a scalar multiple of the other.
Advanced Usage
- Collinearity (n): The state or condition of being collinear. This is the noun form.
- The collinearity of the data points suggested a strong linear relationship in the statistical model.
Variants and Related Words
- Non-collinear (adj): Not lying on the same line.
- A triangle is formed by three non-collinear points.
Synonyms
- Aligned: Arranged in a straight line. (Note: "Aligned" can have a broader meaning, while "collinear" is a precise geometric term.)
- Co-linear: An alternative hyphenated spelling, though "collinear" is standard.
Antonyms
- Non-collinear: Not on the same line.
- Non-aligned: Not in a straight line.
Adjective
-
lying on the same line
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