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

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ANSWER

[tex]\begin{equation*} 85.44\text{ }m\/s \end{equation*}[/tex]

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:

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

That is the answer.

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