Examples of vector

A vector is, in physics, a line segment that is drawn in space and that starts from one point to another. Vectors have a sense, a direction; and a vector magnitude is assigned to it, which is the factor that one tries to describe with such lines.

These segments are used to express the following vector quantities :

  • Acceleration
  • Electric, gravitational or magnetic field
  • Displacement
  • Thermal energy
  • Force
  • Impulse
  • Momentum
  • Weight
  • Power
  • Torque
  • Velocity

These magnitudes need to be represented in space with a direction and sense, for this reason these line segments are used. In addition, they also need a number and a unit.

Characteristics of a vector

Vectors are represented by an arrow. They have direction, meaning, module and point of application. The modulus refers to the length of the vector. For its part, the direction indicates the inclination of the line segment, and the point of the arrow, the orientation. The point of application is where the line starts from.

To describe a vector a formula is used with letters that have an arrow on them.

Types of vectors

    • Nulls: the origin and end of the vector coincide, so its modulus is equal to 0.
    • Unitary: its modulus is equal to 1.
    • Fixed: they are those that have a point of origin (point A) and an end, (point B) that is fixed at a point in space.
    • Parallel: they are vectors that have the same sense and are expressed one parallel to the other.
    • Opposites: for two vectors to be opposite, they must have the same direction and magnitude, but an opposite direction with respect to the other.
    • Concurrent or angular: are those whose lines of action intersect.
    • Free: the point of application of these vectors is indeterminate, so it is said to be free.
    • Equipolentes or equal : they are the vectors that have the same module, direction and sense.
    • Coplanaries: they are on the same plane. .
    • Collinear: their lines of action are located on the same line.
    • Axial or pseudovectors: are those that are linked to rotation effects. The direction indicates the axis of rotation of the line segment.

Vector Examples

Formula of a three-dimensional vector

Formula of a three dimensional vector

Concurrent or angular

Concurrent or angular

Collinear segments

Collinear segments

Coplanaries

Coplanaries

Equal Vectors

Equal Vectors

Opposing segments

Opposing segments

Unit Vectors

Unit Vectors

Other definitions of vector

The word vector also has two additional concepts, one related to mathematics, biology, and computer science.

In mathematics , a vector is also a line segment that is closely related to a coordinate system . After the use of these segments, mathematical operations that we already know are carried out.

In biology , a vector is known as any living and organic being that can transfer a virus, bacteria and other microorganisms from an infected being to another that is healthy. That is, they do not carry the harmful element itself, but rather transport it from one being to another. A clear example of these beings are the mosquitoes that transmit dengue disease.

Finally, in computing , a vector is a data structure that houses elements of the same type. Also known as a matrix , these vectors have rows and columns filled with elements such as integers, string or floating numbers, characters, etc.

From a graphic point of view, in the digital world there are also vector images , which are images made up of geometric objects and which contain attributes such as: position, color, dimensions, etc.

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