Question

A mouse is trapped in amaze to find his way out he walks 15 miles is makes a 90° left turnwalks 8 miles makes another 90° left turn and walks 10 miles what is the magnitude of the resultant vector?

Answer 1

ANSWER

The magnitude of the resultant vector is 11.18 miles

EXPLANATION

To find the magnitude of the resultant vector, we will first need to sketch the diagram

From the diagram above, you will see that the resultant vector is R and this can be calculated by using Pythagora's theorem

$\begin{gathered} \text{ Pythagora's theorem; c}^2\text{ = a}^2\text{ + b}^2 \\ \text{ R}^2\text{ = 10}^2\text{ + 5}^2 \\ \text{ R}^2\text{ = 100 + 25} \\ \text{ R}^2\text{ = 125} \\ \text{ Take the square roots of both sides} \\ \text{ R = }\sqrt{125} \\ \text{ R = 11.18 miles} \end{gathered}$

Hence, the magnitude of the resultant vector is 11.18 miles