178k views
5 votes
What is the magnitude of vector K?8 m16 m60 m136 m

What is the magnitude of vector K?8 m16 m60 m136 m-example-1

1 Answer

3 votes

ANSWER:

8 m

Explanation:

We calculate the magnitude of the vector by means of the Pythagorean theorem which says the following:


\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}

Replacing and solving for K


\begin{gathered} 10^2=6^2+K^2 \\ K^2=100-36 \\ K=\sqrt[]{64} \\ K=8 \end{gathered}

The magnitude of the vector K is 8 meters

User Harry Johnston
by
4.4k points