ANSWER:
8 m
STEP-BY-STEP EXPLANATION:
We calculate the magnitude of the vector by means of the Pythagorean theorem which says the following:
[tex]\begin{gathered} c^2=a^2+b^2 \\ \text{ In this case:} \\ c=L=10\text{ m} \\ a=K=\text{ ?} \\ b=J=6\text{ m} \end{gathered}[/tex]
Replacing and solving for K
[tex]\begin{gathered} 10^2=6^2+K^2 \\ K^2=100-36 \\ K=\sqrt[]{64} \\ K=8 \end{gathered}[/tex]
The magnitude of the vector K is 8 meters
