Answer:
The magnitude of the vector is 5.
Step-by-step Explanation:
The magnitude of a vector |v| can be found using the Pitagoras theorem, according to the figure below:
The magnitude can be calculated as:
[tex]|v|=\sqrt[]{x^2+y^2}[/tex]
In this exercise,
x = -3
y = 4
So,
[tex]\begin{gathered} |v|=\sqrt[]{3^2+4^2} \\ |v|=\sqrt[]{9+16} \\ |v|=\sqrt[]{25} \\ |v|=5 \end{gathered}[/tex]
The magnitude of the vector is 5.
