Question

Suppose $\overrightarrow{a}$ is a vector of magnitude 4.5 unit due north. What is the vector (a) 3 $\overrightarrow{a}$, (b) -4 $\overrightarrow{a}$ ?

Answer 1

a is a vector of magnitude 4.5 unit due north

(a) $3|\overrightarrow{a}|=3\times 4.5=13.5$

3a is along north having magnitude 13.5 units

(b) $|\overrightarrow{a}|=-4\times 1.5$ = 6 units

$-4\overrightarrow{a}$ is a vector of magnitude 6 units due south.