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Euclidean vector. 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. Euclidean vectors can be added and scaled to form a vector space. A Euclidean vector is frequently represented by a ...
In mathematics, a tangent vector is a vector that is tangent to a curve or surface at a given point. Tangent vectors are described in the differential geometry of curves in the context of curves in Rn. More generally, tangent vectors are elements of a tangent space of a differentiable manifold. Tangent vectors can also be described in terms of ...
Pixabay.com is a free stock photography and royalty-free stock media website. It is used for sharing photos, illustrations, vector graphics, film footage, stock music and sound effects, exclusively under the custom Pixabay license, which generally allows the free use of the material with some restrictions. [ 1][ 2][ 3] You can use the site's ...
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. Scalars are often real numbers, but can be complex numbers or, more generally, elements of any field. The operations of vector addition and scalar ...
Vector field. A portion of the vector field (sin y , sin x) In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space . [ 1] A vector field on a plane can be visualized as a collection of arrows with given magnitudes and directions, each attached to a point on the plane.
The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as or a∥b . The vector component or vector resolute of a perpendicular to b, sometimes also called the ...
Unit vector. In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in (pronounced "v-hat"). The term direction vector, commonly denoted as d, is used to describe a unit vector being used to represent spatial ...
Vector group. In electrical engineering, a vector group, officially called a connection symbol, is the International Electrotechnical Commission (IEC) method of categorizing the high voltage (HV) windings and low voltage (LV) winding configurations of three-phase transformers. The vector group designation indicates the windings configurations ...
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