Unit vector (1712 bytes)
1: ...ial)|spatial vector]]) whose length is 1. A unit vector is often written with a “hat”, thus: ...
3: ...uclidean space]], the [[dot product]] of two unit vectors is simply the cosine of the angle between them. ...
5: ...circ;''' of a non-zero vector '''u''' is the unit vector codirectional with '''u''', i.e.,
8: ... is sometimes used simply as a synonym for ''unit vector''.
10: ... usually '''i''', '''j''', and '''k'''—unit vectors along the ''x'', ''y'', and ''z'' axes, respecti...

Null vector (vector space) (207 bytes)
1: ... written 0, that is the [[neutral element]] for [[vector addition]].

P-vector (604 bytes)
1: ...on]]s of the [[wedge product]] of ''p'' [[tangent vector]]s. It is the [[Dual space|dual]] of a [[p-form]]...
3: ...p=2 and 3, they are often called bivectors and trivectors.
5: ...ensions. These meanings are different from ''p''-vectors for ''p'' of 3 or 4.)

Vector (2516 bytes)
1: The word '''vector''' means "carrier" in [[Latin]]; it is derived fr...
3: ...to any [[Set|element]] of an abstractly-defined [[vector space]] over a [[field (mathematics)|field]].
4: ...spatial)]]: In [[physics]] and [[engineering]], ''vector'' most often refers specifically to an object tha...
5: ...]], [[unit vector]], [[null vector]] and [[normal vector]].
6: ...mes;1 (''column vector'') or 1×''n'' (''row vector'').

The Vector (417 bytes)
1: ...gy]]'s school newspaper. Established in 1924, The Vector was initially the school newspaper for Newark Col...
3: The Vector calls itself "The Voice of NJIT... since 1924".

Four-vector (3033 bytes)
1: ...r (spatial)|vector]] in a four-dimensional real [[vector space]], whose components transform like the [[sp...
3: ...the '''[[Minkowski space]]''' is the "event" four-vector, defined as:
6: It is called an "event" vector because of [[Albert Einstein]]'s interpretation w...
8: ... (''time-like'', labeled by index 0) has the same units as the following three coordinates (''space-like...
10: The [[scalar product]] between four-vectors ''a'' and ''b'' is defined as follows:

Vector space example 1 (5154 bytes)
3: <br>Define Vector Addition:
7: Then '''V''' is a Vector Space over '''R'''.
46: <br>This vector space is denoted <b>Rⁿ</b>.
50: :''See also :'' [[Vector space]]

Expression vector (1049 bytes)
1: ...t is carried on the expression vector. Expression vectors are basic tools for [[biotechnology]] and the pr...

Vector space example 2 (2549 bytes)
13: Define vector addition in '''M''':
53: Then '''M''' is a vector space over '''C''' and we denote this as '''C'''<...
57: ...e the structure of a vector space. In analysis, a vector space is called a linear space.
59: :''See also: [[Vector space]]''

Initialization vector (1874 bytes)
1: In [[cryptography]], an '''initialization vector''' ('''IV''') is a block of bits that is combined...
3: Initialization vectors are very important when different files are encr...

Vector space (example 3) (2526 bytes)
1: ...e are often called ''linear spaces'' instead of ''vector spaces''. This third example is one such set of f...
6: ...osed interval]] [a,b] <tt>-></tt> '''R'''. Define vector addition:
10: Then C[a,b] is a vector space over the field '''R'''.

Null vector (142 bytes)
1: The term '''null vector''' can have two different meanings:
2: * [[null vector (vector space)]]
3: * [[null vector (Minkowski space)]]

Vector (band) (548 bytes)
1: '''Vector''' is a [[new wave music|new wave]] [[rock band]]...

Eccentricity vector (1533 bytes)
1: ...ity vector''' of a conic section [[orbit]] is the vector pointing towards the [[periapsis]] and with lengt...
4: .../math> can be calculated from the [[orbital state vectors]] <math> \mathbf{v} \,</math> and <math> \mathbf...
8: ...vector | velocity vector]] of the [[orbital state vectors]],
9: ... vector | position vector]] of the orbital state vectors,
12: ... also be computed from [[orbital angular momentum vector]] '''h''':

Vector space (7945 bytes)
1: ...tal concept in [[linear algebra]] is that of a '''vector space''' or '''linear space'''.
3: ...ption of a mathematical structure which we call a vector space.
5: ...degree ''n'' with real-valued coefficients form a vector space, for example. It is this abstract quality t...
9: A [[set]] V is a '''vector space''' over a [[field (mathematics)|field]] F (...
10: * an operation ''vector addition'' defined in V, denoted '''v''' + '''w''...

Vector (spatial) (15781 bytes)
1: ...so now used for more general concepts (see also [[vector]] and [[#Generalizations|generalizations]] below)...
3: A common example of a vector is [[force]] &mdash; it has a magnitude and an or...
5: A vector can be formally defined by its relationship to th...
7: ...ng blocks of [[vector field|vector fields]] and [[vector calculus]].
11: Informally, a '''vector''' is a quantity characterized by a number (indic...

Row vector (175 bytes)
1: In [[linear algebra]], a '''row vector''' is a ''1 x n'' [[matrix (math)|matrix]], a mat...
5: [[Column vector]], [[Vector]]

Normal vector (406 bytes)
1: ...ace|inner product]] of the normal vector with all vectors which comprise the surface is 0.
3: In a [[vector space]], two non-zero vectors are said to be normal to each other if their [[s...

Column vector (179 bytes)
1: In [[linear algebra]], a '''column vector''' is an ''m x 1'' [[matrix (math)|matrix]], a ma...
5: [[Row vector]], [[Vector]]

Vector calculus (2657 bytes)
1: ...tivariate [[real analysis]] of [[vector (spatial)|vector]]s in 2 or more [[dimension]]s. It consists of a...
3: ...ctor field: to each point we associate a velocity vector.
5: Three operations are important in vector calculus:
6: ...scalar field; the gradient of a scalar field is a vector field.
7: ...ut a point; the curl of a vector field is another vector field.

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