What does vector mean? Explained

What does vector mean

What does vector mean

Pronunciation

/ˈvɛktər/

Part of Speech

Noun

Definition

A quantity with both magnitude and direction, often represented graphically as an arrow in a coordinate system, used to describe movements, forces, and other physical phenomena.

Examples

  • The velocity vector of the object is 5 meters per second.
  • In physics, vectors are used to describe the motion of particles.

Synonyms

  • Magnitude
  • Direction

Antonyms

  • Scalar
  • Zero vector

Additional Information

Vectors are fundamental in many areas of physics, engineering, and mathematics, including mechanics, electromagnetism, and differential equations. They are often visualized as arrows in a coordinate system, with their length and direction representing magnitude and direction.

In computer graphics, vectors are used to describe the position and movement of objects in 2D and 3D space. They are also essential in machine learning, where they are used to represent features and make predictions.

Etymology

The term “vector” comes from the Latin word “vector”, meaning “carrier” or “bearer”. It was first used in mathematics in the 19th century to describe a quantity with both magnitude and direction.

Usage Notes

Vectors can be added and scaled, but not divided. They are often denoted by boldface letters, such as **a** or **F**, to distinguish them from scalars.

Cultural References

Vectors have appeared in popular culture, such as in the movie “The Matrix”, where the protagonist Neo learns to manipulate vectors to bend the rules of physics.

Idiomatic Expressions or Phrases

  • Vector in
  • Vector out

Related Words or Phrases

  • Scalar
  • Matrix
  • Tensor

Collocations

  • vector addition
  • vector multiplication
  • vector field

Frequency of Use

Vectors are commonly used in scientific and technical contexts, but less frequently in everyday conversation.

Common Misspellings

  • Vecter
  • Vecor
  • Vcctor

Related Words