Question

a hall has the dimensions 10m*12m*40m. a fly starting at one corner ends up at a diametrically opposite corner. what is the magnitude of it's displacement? #vectorquestion

Answer 1

The displacement of the fly in a cuboid hall of dimensions 10 m * 12 m * 40m is the length of the solid diagonal(Line from one corner to another).

To find the displacement we first need to find the length of the diagonal.

This can be done by using the Pythagoras's theorem. Thus length of the diagonal is $\sqrt{ 10^{2} + 12^{2} }$  which equals 15.62 m

Thus to find the displacement we need to find the length of the hypotenuse formed by the triangle of dimension 15.62 m  and 40 m which is

$\sqrt{ 15.62^{2} + 40^{2} }$ that equals 42.94m 

Thus the fly displaces by 42.94m