collinear

Thân thiện

Three points are collinear if they all lie on the same straight line.

Definition

1. 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.

Học thuật

Adjective

1. lying on the same line