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## Homework Statement

Quantities without unit of measure are:

A) Necessarily scalar

B) Necessarily vector

C) Can be scalar or vector

D) They are neither scalar nor vector

Justify your answer!

## Homework Equations

No equations

## The Attempt at a Solution

For example, the refractive index of a medium is a number without unit of measure. If it were to risk between climbing or vector, I'd say climb. However, anywhere scale is defined by a number accompanied by its unit. Therefore, the index of refraction would not be scalar and since it has no orientation, it is also not a vector, so what would it be?