on . Posted in Mathematics

In physics and mathematics, a vector is a mathematical entity that has both magnitude and direction.  It is used to represent quantities that have both a size or magnitude and a specific direction in space.

A vector can be described using coordinates or components in a coordinate system, such as Cartesian coordinates (x, y, z) in three-dimensional space.  Each component of a vector represents the magnitude of the vector along a specific axis.  Vectors can undergo various operations, including addition, subtraction, and scalar multiplication.  When two vectors are added or subtracted, their magnitudes and directions are combined accordingly.  Scalar multiplication involves multiplying a vector by a scalar, which results in scaling the magnitude of the vector without changing its direction.

Here is a list of common vector quantities: acceleration, alternating current, angular acceleration, angular velocity, bouyancy force, current density, displacement, drag, electric field, force, gravity, gravitational fieldgravitational force, impulse, lift, magnetic field, magnetic flux, momentum, tension, thrusttorque, velocity, and weight.

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Tags: Nomenclature and Symbols