Yes. Conversion factors will generally be dimensionless constants.
Yes, the magnitude of a vector is a scalar.
Correct: it is a dimensionless number.
Relative value is a dimensionless quantity, and so it shouldn't matter what units you want to use, as long as you are consistent.
A dimensionless number has no units. The units of all variables that compose the dimensionless number (product or ratio) must cancel each other.
If a quantity is "dimensionless", that means it has no units, and it's just a number.
energy/mass example: calories/gram
No. "Dimensionless" means there are NO units involved.
the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
No, a dimensionless quantity does not have a unit because it represents a pure number without any physical dimension. Examples of dimensionless quantities include ratios, proportions, and mathematical constants.
Yes. Conversion factors will generally be dimensionless constants.
Yes, a dimensionless quantity is a quantity that does not have any physical dimensions or units. It is a pure number or ratio that represents a comparison between two quantities. Examples of dimensionless quantities include angles, ratios, and pure numbers like pi.
No, a quantity cannot have units and still be dimensionless. The dimensions of a quantity are determined by its units, so if a quantity has units, it has dimensions. Dimensionless quantities are those without any units.
Yes, the magnitude of a vector is a scalar.
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.
Yes, a quantity can have units but still be dimensionless if the units cancel out when they are raised to the power of 0. For example, specific volume (volume per mass) has units of m^3/kg, but when you divide volume by mass, the units cancel out and it becomes dimensionless.
The coefficient of friction is dimensionless; it has no units.