A mosquito net over a 7 ft \times 4 ft bed is 3 ft high. The net has a hole at one corner of the bed 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 displacement of the mosquito.

(b) Taking the hole as 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 components of the displacement vector.

Open in App

Solution

Displacement vector

$\to r = 7 ˆ i + 4 ˆ i + 3 ˆ k$

(a) Magnitude of displacement

= $\sqrt{7^{2} + 4^{2} + 3^{2}}$

= $\sqrt{74}$ ft

(b) Components of the displacement vector are 7 ft, 4 ft and 3 ft.

Suggest Corrections

Similar questions

Q. A mosquito net over a 7 ft × 4 ft bed is 3 ft high. The net has a hole at one corner of the bed 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 displacement of the mosquito. (b) Taking the hole as the origin, the length of the bed as the X-axis, it width as the Y-axis, and vertically up as the Z-axis, write the components of the displacement vector.

A mosquito net over a 7 ft. $\times$ 4 ft. bed is 3 ft. high. The net has a hole at the corner on the top through which a mosquito enters the net. It flies and sits at the diagonally opposite bottom corner of the net. Taking the hole as 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 components of the displacement vector.

Q. The mosquito net over a 7m x 4m bed is 3m high. The net has a hole at one corner of the bed 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 displacement of the mosquito.
(b)Taking the hole as horizon, the length of the bed as X-axis, its width as Y-axis and vertically up as the Z-axis, write the components of the displacement vector

Q. A mosquito flies from the hole in a mosquito net top corner diametrically opposite. If the net is