Question

Vector A= 30 m/s towards East and vector B= 80 m/s towards south. Find A- B [Perform the subtraction of the vector].

Answer 1

`\begin{equation*} 85.44\text{ }m\/s \end{equation*}`

Step-by-step explanation

First, let us make a sketch of the two vectors:

The vector A - B is represented by line BA in the figure above.

To evaluate A - B, we will apply the Pythagoras theorem:

`\begin{gathered} A-B=BA=√((30)^2+(80)^2) \\ A-B=BA=√(900+6400) \\ A-B=BA=√(7300) \\ A-B=BA=85.44\text{ }m\/s \end{gathered}`

That is the answer.