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#* This is a vector quantity, its components being determined in terms of the normal (perpendic *[[Poynting vector]] ...

...rticle at various positions in [[space]]. Specifically, a force field is a vector field <math>\vec{F}</math>, where <math>\vec{F}(\vec{x})</math> is the forc ...ity]].<ref>[https://books.google.com/books?id=LiRLJf2m_dwC&pg=PA288 Vector calculus, by Marsden and Tromba, p288]</ref><ref>[https://books.google.com/books?id= ...

[[Category:Vector calculus]] ...

...te any divergenceless vector as the [[Curl (mathematics)|curl]] of another vector, hence where '''A''' is called the [[magnetic vector potential]]. Substituting this into the above we get ...

[[Category:Vector calculus]] ...

{{short description|Vector field that is the gradient of some function}} ...s means that it has vanishing [[curl (mathematics)|curl]]. An irrotational vector field is necessarily conservative provided that the domain is [[simply conn ...

...''X''') − ∇²'''X'''}} (The last term in the right side is the [[vector Laplacian]], not Laplacian applied on scalar functions.) gives the wave equ ...l]]) and the [[Magnetic vector potential|magnetic potential]] '''A''' (a [[vector potential]]) defined from the '''E''' and '''B''' fields by: ...

...system|cylindrical]] coordinates, and the fundamental theorems of [[vector calculus]]. The second inner cover contains the basic equations of electrodynamics, *Chapter 1: [[Vector Calculus|Vector Analysis]] ...

is the [[Poynting vector]], where [[Poynting vector]] becomes: ...

...] volume of space), is called a ''conservative force'' or ''[[conservative vector field]]'' if it meets any of these three ''equivalent'' conditions: # The [[Curl (mathematics)|curl]] of ''F'' is the zero vector: <math display="block">\vec{\nabla} \times \vec{F} = \vec{0}. </math> where ...

{{Main|Vector addition}} [[Image:Vector parallelogram.PNG|thumb|200px|Figure 1: Parallelogram construction for addi ...

{{Short description|Complex vector of electromagnetic fields}} ...he "electromagnetic field") is a [[complex number|complex]] [[vector space|vector]] that combines the [[electric field]] '''E''' and the [[magnetic field]] ' ...

...''dS''}} the infinitesimal surface element and {{math|'''n'''}} the [[unit vector|unit]] normal to the surface. '''Top:''' Circulation is the line integral o In physics, '''circulation''' is the [[line integral]] of a vector field around a closed curve. In [[fluid dynamics]], the field is the fluid ...

...rms of <math>\mathbf{E}</math> and <math>\mathbf{B}</math>. Using [[vector calculus]] and [[Maxwell's equations]], symmetry is sought for in the terms containi ...ten to something that can be interpreted physically, namely the [[Poynting vector]]. Using the [[product rule]] and [[Faraday's law of induction]] gives ...

{{about|three-dimensional vector geometry|the maze-solving technique|Wall follower|the traffic rule|Priority ...and to determine the direction of the [[cross product]] of two [[Euclidean vector|vectors]], as well as to establish the direction of the force on a [[Electr ...

{{short description|Vector quantity describing mass flow rate through a given area}} For mass flux as a vector {{math|'''j'''_''m''}}, the [[surface integral]] of it over a [[s ...

{{short description|Theorem in vector calculus}} {{Calculus |Vector}} ...

{{short description|Vector sum of all forces acting upon a particle or body}} ...boldface, or sometimes, we place an arrow over the symbol to indicate its vector nature, like this: <math>\scriptstyle \vec F</math>. ...

...dimensional space|three-dimensional]] space. Mathematically it is a [[four-vector]] and is [[Lorentz covariant]]. ...ein|Gershtein]] and [[Yakov Zeldovich|Zeldovich]] considered the conserved vector current (CVC) hypothesis for electroweak interactions.<ref>{{cite book|auth ...

...|μ}}, and [[permittivity]] {{mvar|ε}}, and {{math|∇²}} is the [[Vector Laplacian|Laplace operator]]. In a vacuum, {{math|1=''v''_ph = ' We can use the [[Vector calculus identities#Curl of curl|vector identity]] ...