Question

A room has dimensions 3m × 4m × 5m. A fly starting at one corner ends up at the diametrically opposite corner.

What is the magnitude of its displacement?

​

Answer 1

Answer:

here is your answer hope it helps

Answer 2

If the starting point of fly which is one corner of room is taken as origin of coordinates, then the coordinates of diametrically opposite corner of room are (3, 4, 5). So displacement is :

$\sf \vec{r} = 3 \hat{i} + 4 \hat{j} + 5 \hat{k} \\ \sf : \implies r = \sqrt{ {3}^{2} + {4}^{2} + {5}^{2} } \\ \sf : \implies r = \sqrt{9 +4 + 25 } \\ \sf : \implies r = \sqrt{50}$

$\underline{ \sf{Hence, \: Answer \: is \: \pink{\sqrt{50}}}}$