Scalar
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
Refractive index of vacuum is 1.
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
Refractive Index: 1.4465
"The refractive index of water is 4 / 3" means the refractive index of water with respect to air. "The refractive index of glass is 3 /2" means the refractive index of glass with respect to air. You change the question as ," what is the refractive index of glass with respect to water? The answer is it is the ratio of refractive index of of glass with respect to air to the refractive index of water with respect to air =( 3/2) divided by( 4/3) = 1.125
A scalar times a vector is a vector.
vector
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
Refractive index of vacuum is 1.
Refractive Index(i) Refractive index of a medium is that characteristic which decides speed of light in it.(ii) It is a scalar, unit less and dimensionless quantity.(iii) Absolute refractive index :When light travels from vacuum to any transparent medium then refractive index of medium w.r.t. vacuum is called it's absolute refractive index i.e. vacuumµmedium = c/vAbsolute refractive indices for glass, water and diamond are respectively µg = 3/2 = 1.5, µw = 4/3 = 1.33 and µD = 12/5 = 2.4(iv) Relative refractive index :When light travels from medium (1) to medium (2) then refractive index of medium (2) w.r.t. medium (1) is called it's relative refractive index i.e. 1µ2 = µ2/µ1 = v1/v2 (where v1 and v2 are the speed of light in medium 1 and 2 respectively).(v) When we say refractive index we mean absolute refractive index.(vi) The minimum value of absolute refractive index is 1. For air it is very near to 1. ( 1.003)
Scalar
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
An earthquake is neither a scalar nor a vector. It is an event.
Refractive Index: 1.4465
vector
vector
"The refractive index of water is 4 / 3" means the refractive index of water with respect to air. "The refractive index of glass is 3 /2" means the refractive index of glass with respect to air. You change the question as ," what is the refractive index of glass with respect to water? The answer is it is the ratio of refractive index of of glass with respect to air to the refractive index of water with respect to air =( 3/2) divided by( 4/3) = 1.125