Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
Vector spaces can be formed of vector subspaces.
Resultant vector or effective vector
Spliting up of vector into its rectangular components is called resolution of vector
Scalar
The poynting vector is that one which represents the directional energy flux density of the electromagnetic field.
Electric flux is a scalar quantity, as it represents the amount of electric field passing through a given area. It does not have a direction associated with it, unlike vector quantities.
No, electric flux is a scalar quantity. It represents the total number of electric field lines passing through a given surface.
As we know that electric flux is the total number of electric lines of forces passing through a surface. Maximum Flux: Electric flux through a surface will be maximum when electric lines of forces are perpendicular to the surface. Minimum flux: Electric flux through a surface will be minimum or zero when electric lines of forces are parallel to the surface.
The applications are in transport phenomena, in determining the direction of flow in momentum transport, heat transfer, and mass flux.
The surface integral of the electric field is the flux of the electric field through a closed surface. Mathematically, it is given by the surface integral of the dot product of the electric field vector and the outward normal vector to the surface. This integral relates to Gauss's law in electrostatics, where the total electric flux through a closed surface is proportional to the total charge enclosed by that surface.
A flux integral is the summation of the component of a vector field perpendicular to differential surface areas (or in the direction of their normal vectors) over the entire surface. In other words, the flux of a vector field across a surface is the surface integral vector field in the direction of the normal component of the surface.INT INTS[(F*n)dS]INT INT is the double integral operatorS is the surface domain being integrated overF is a vector field* is the dot productn is the normal component to the surfacedS is the differential surface area.Flux integrals are very useful in physics. Two of Maxwell's equations involve flux integrals:INT INTS[(B*n)dS] = 0This equation states that the magnetic flux over a closed surface is always equal to zero. This equation reflects the fact that magnetic monopoles do not exist.INT INTS[(E*n)dS] = Q/EThis equation states that the electric flux through a closed surface is proportional to the total charge enclosed within that surface (1/E is the proportionality constant). These equations played important roles in the discovery of electromagnetic radiation.also the Flux of a velocity field through a surface indicates the flow rate across that surface.
Dennis C. Jespersen has written: 'A time-accurate multiple-grid algorithm' -- subject(s): Multigrid algorithms 'Flux vector splitting and approximate Newton methods' -- subject(s): Euler equations of motion, Flux splitting
The magnetic flux through a surface is maximum when the magnetic field is perpendicular to the surface and the surface area is also perpendicular to the field. This occurs when the magnetic field is passing through the surface at a 90-degree angle, resulting in the maximum number of magnetic field lines intersecting the surface area.
Cristian Anghel has written: 'Sensorless flux vector control for a permanent magnet synchronous machine with cylindrical rotor under severe starting conditions'
The net electrical flux passing through a cylindrical surface in a nonuniform electric field is given by the integral of the electric field dot product with the surface area vector over the surface. The flux depends on the strength and direction of the electric field, as well as the shape and orientation of the surface.