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A vector pointing from A to B. In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector [1] or spatial vector [2]) is a geometric object that has magnitude (or length) and direction.
In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [ 1 ] [ 2 ] It is typically formulated as the product of a unit of measurement and a vector numerical value ( unitless ), often a Euclidean vector with magnitude and direction .
Cartesian y-axis basis unit vector unitless kinetic energy: joule (J) wave vector: radian per meter (m −1) Boltzmann constant: joule per kelvin (J/K) wavenumber: radian per meter (m −1) stiffness: newton per meter (N⋅m −1) ^ Cartesian z-axis basis unit vector
vector Jerk: j →: Change of acceleration per unit time: the third time derivative of position m/s 3: L T −3: vector Jounce (or snap) s →: Change of jerk per unit time: the fourth time derivative of position m/s 4: L T −4: vector Magnetic field strength: H: Strength of a magnetic field A/m L −1 I: vector field Magnetic flux density: B
A vector of arbitrary length can be divided by its length to create a unit vector. [14] This is known as normalizing a vector. A unit vector is often indicated with a hat as in â. To normalize a vector a = (a 1, a 2, a 3), scale the vector by the reciprocal of its length ‖a‖. That is:
Ampèremetre (Ammeter) A physical quantity (or simply quantity) [1] [a] is a property of a material or system that can be quantified by measurement.A physical quantity can be expressed as a value, which is the algebraic multiplication of a numerical value and a unit of measurement.
Also abbreviated LRL vector. A vector used chiefly to describe the shape and orientation of the orbit of one astronomical body around another, such as a planet revolving around a star. For two bodies interacting by Newtonian gravity, the LRL vector is a constant of motion, meaning that it is the same no matter where it is calculated on the ...
A scalar in physics and other areas of science is also a scalar in mathematics, as an element of a mathematical field used to define a vector space.For example, the magnitude (or length) of an electric field vector is calculated as the square root of its absolute square (the inner product of the electric field with itself); so, the inner product's result is an element of the mathematical field ...