A mosquito net over a `7ftxx4 ft` bed is `3 ft`high. The net has a hole at one corner of the bed at origin through which a mosquito enters the net. It flies and sits at the diagonally opposite upper corner of the net (a) find the magnitude of the origin, the length of the bed as the x-axis, its width as the Y-axis, and vertically up as the Z-axis, write the displacement vector.

Answer

(a) `sqrt(74)` (b) `7hat(i)+4hat(j)+3hat(k)`

Explanation

(a) `vec(OP)=7hat(c)+4hat(j)+3hat(k)`
`|vec(OP)|=sqrt(7^(2)+4^(2)+3^(2))=sqrt(74)m`
(b) `vec(OP)=7hat(c)+4hat(j)+3hat(k)`