Recall that the magnitude of a vector (x,y) is given by the following expression:
[tex]\sqrt[]{x^2+y^2}\text{.}[/tex]
Also, recall that:
[tex](x,y)+(v,w)=(x+v,y+w)\text{.}[/tex]
Therefore, the resultant vector of the given diagram is:
[tex](14-9,7-2)=(5,5)\text{.}[/tex]
The magnitude of the above vector is:
[tex]\begin{gathered} \sqrt[]{5^2+5^2}=\sqrt[]{2\cdot5^2}=5\sqrt[]{2} \\ \approx7.1. \end{gathered}[/tex]
Answer: 7.1.
