coplanar

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Word: Coplanar

Part of Speech: Adjective

Definition: The word "coplanar" means that two or more points, lines, or shapes lie in the same flat surface or plane. Imagine a flat piece of paper; anything that is on that paper is coplanar.

Usage Instructions:

• Use "coplanar" when talking about geometry, mathematics, or physics when you want to describe objects that are on the same flat surface.
• It is often used in technical or scientific contexts.

Example:

• "The points A, B, and C are coplanar because they all lie on the same flat surface."
• "In geometry class, we learned that three points are always coplanar unless they are in different three-dimensional spaces."

Advanced Usage:

• In advanced mathematics, you might discuss the coplanarity of vectors or planes in three-dimensional space.
• "To determine if the vectors are coplanar, we can check if their scalar triple product is zero."

Word Variants:

• Coplanarity (noun): The condition of being coplanar.
  • Example: "The coplanarity of the lines was essential for solving the geometric problem."

Different Meanings:

• In a more general context, "coplanar" specifically refers to a concept in geometry. It does not have many different meanings outside of this context.

Synonyms:

• Planar (though this term is more general and can refer to anything related to a plane).
• Flat (in a non-technical sense).

Idioms and Phrasal Verbs:

• There are no specific idioms or phrasal verbs directly related to "coplanar," as it is a technical term primarily used in mathematics and science.

Summary:

"Coplanar" is a technical word used mainly in geometry and related fields, meaning that certain points or lines exist on the same flat surface.

Academic

Adjective

1. lying in the same plane