Question

Trying to Figure it out. How to Solve Vector Problems

Answer 1

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:

`|v|=\sqrt[]{x^2+y^2}`

In this exercise,

x = -3

y = 4

So,

`\begin{gathered} |v|=\sqrt[]{3^2+4^2} \\ |v|=\sqrt[]{9+16} \\ |v|=\sqrt[]{25} \\ |v|=5 \end{gathered}`

The magnitude of the vector is 5.