Yes. Conversion factors will generally be dimensionless constants.
Correct: it is a dimensionless number.
infinity
Constant
Relative value is a dimensionless quantity, and so it shouldn't matter what units you want to use, as long as you are consistent.
Yes, the magnitude of a vector is a scalar.
If a quantity is "dimensionless", that means it has no units, and it's just a number.
energy/mass example: calories/gram
"Dimensionless" means it doesn't have a unit.
KR and KK are not dimensionless.
the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
No. "Dimensionless" means there are NO units involved.
Correct: it is a dimensionless number.
YES IT IS. Any quantity which is ratio of two physical quantities having same unit is dimensionless. Dielectric constant is ratio of Permittivty of medium to the permittivity of free space. As Permittivity of medium and permittivity of free space both have same units(F/m ie Farad/meter) dielectric constant becomes dimensionless quantity
infinity
Constant
Relative value is a dimensionless quantity, and so it shouldn't matter what units you want to use, as long as you are consistent.
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.