Questions: Il vettore vec(a) e il vettore 10 vec(a) hanno in comune tutte le caratteristiche seguenti tranne una: quale? A La direzione B Il modulo (C) Il verso D L'unità di misura del modulo

Determine the characteristic that differs between the vectors \(\vec{a}\) and \(10 \vec{a}\).

Direction

The direction of a vector is determined by the line along which it acts. Both \(\vec{a}\) and \(10 \vec{a}\) have the same direction because multiplying a vector by a scalar does not change its direction.

Magnitude

The magnitude (or modulus) of a vector is the length of the vector. The vector \(10 \vec{a}\) has a magnitude that is 10 times that of \(\vec{a}\). Therefore, the magnitudes are different.

Sense

The sense (or direction along the line) of a vector is indicated by the arrowhead. Both \(\vec{a}\) and \(10 \vec{a}\) have the same sense because multiplying by a positive scalar does not change the sense.

Unit of measure of the magnitude

The unit of measure of the magnitude remains the same for both vectors, as it is determined by the context or system of units being used (e.g., meters, newtons).

The characteristic that differs is the magnitude. \(\boxed{B}\)

The characteristic that differs between the vectors \(\vec{a}\) and \(10 \vec{a}\) is the magnitude. \(\boxed{B}\)