In chemical engineering, we deal with molar fluxes and I am very sure molar flux is not a vector, it is simply a scalar. molar flux cannot be negative because you cannot have - 5.0 moles of something flowing but I think you'll have to verify for other cases like magnetic flux and electrical fluxes
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.
Resultant vector or effective vector
Vector spaces can be formed of vector subspaces.
decomposition of a vector into its components is called resolution of vector
Scalar
To calculate the flux for hemispheres of different radii, you can use the formula for flux, which is the surface integral of the vector field over the surface of the hemisphere. The flux can be calculated by taking the dot product of the vector field and the normal vector to the surface, and then integrating over the surface area of the hemisphere. The formula for flux is given by F dS, where F is the vector field, dS is the differential surface area element, and the integral is taken over the surface of the hemisphere.
To calculate the flux for hemispheres of varying radii, you can use the formula for flux, which is the surface integral of the vector field over the surface of the hemisphere. The flux can be calculated by taking the dot product of the vector field and the unit normal vector to the surface, and then integrating over the surface area of the hemisphere. The formula for flux is given by F dS, where F is the vector field, dS is the differential surface area element, and the integral is taken over the surface of the hemisphere.
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.
Yes, it is possible for flux to have a negative value. This occurs when the magnetic field and the area vector are in opposite directions, leading to a negative flux value.
Yes, electric flux can have a negative value if the electric field and the area vector have opposite directions.
No, electric flux is a scalar quantity. It represents the total number of electric field lines passing through a given surface.
The area vector in vector calculus represents the direction and magnitude of a surface area. It is important in applications such as calculating flux, which measures the flow of a vector field through a surface. The area vector helps determine the orientation of the surface and is crucial for understanding the behavior of vector fields in three-dimensional space.
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 electric flux through a surface is a measure of the total electric field passing through that surface. It is calculated by taking the dot product of the electric field and the surface area vector. The unit of electric flux is Newtons per Coulomb (N/C).
The applications are in transport phenomena, in determining the direction of flow in momentum transport, heat transfer, and mass flux.