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vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity’s magnitude.
- Displacement
Displacement, in mechanics, distance moved by a particle or...
- Vector Analysis
The cross or vector product of two vectors a and b, written...
- Scalars
Scalar, a physical quantity that is completely described by...
- Displacement
Most commonly in physics, vectors are used to represent displacement, velocity, and acceleration. Vectors are a combination of magnitude and direction, and are drawn as arrows. The length represents the magnitude and the direction of that quantity is the direction in which the vector is pointing.
In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied ("scaled") by numbers called scalars. The operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms.
12 Απρ 2024 · Vectors are mathematical objects represented by directed line segments, characterized by both magnitude and direction. They are often denoted by boldface letters or arrows, such as v or AB. Vectors can represent various physical quantities, including displacement, velocity, force, and acceleration.
Definition: Vector. A vector is a quantity with both magnitude and direction. We will frequently represent a vector quantity with an arrow, where the direction of the vector is the direction that the arrow points, and the magnitude of the vector is represented by the length of the arrow.
Vectors are geometrically represented by arrows, with the end marked by an arrowhead. The length of the vector is its magnitude, which is a positive scalar. On a plane, the direction of a vector is given by the angle the vector makes with a reference direction, often an angle with the horizontal.
A vector is a quantity that is described by both magnitude and direction. Examples of vector quantities are displacement, velocity, acceleration, and force. Vector quantities are often represented by scaled vector diagrams.