Question

Let v be a vector in Rn, then ||v|| is a scalar.

Select one:

a. False

b. True

Answer 1

We know that norm is a function from $\mathbb{R}^n$ to non-negative real numbers (see https://en.wikipedia.org/wiki/Norm_(mathematics)), so it is a scalar. We may say that the Euclidean distance or the absolute value are the examples of a norm.