A room has dimensions `3 m xx 4 m xx5 m. A fly starting at one cronet ends up at the diametrically opposite corner. (a) What is the magnitude of its displacement ? (a) What is the magnitude of its displacement ? (b) If the fly wer to walk, what is the length of the shortest pothe it cantake ?

Explanation

(a) if the startong 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
` vec r =3 hat I + 4 hat j + 5 hat k`
and ` r = sqrt(3^(2) +4^(2) + 5^(2)) =sqrt 50 ~~7 m`
(b) When the fly were to walk, then shortest distance travelled is
` =3 + sqrt ( 4^(2) + 5^(2)) =3 sqrt 41 =.4 m`.