A mosquito net positioned over a 7 ft 4 ft bed has a height of 3 ft . A mosquito enters the net through a hole located at one of the bed's corners. It then flies to and settles at the upper corner of the net that is diagonally opposite. Assuming the hole is the origin, the bed's length lies along the X-axis, its width along the Y-axis, and the vertically upward direction is the Z-axis, determine the components of the

Step-by-step solution

The origin is taken at the hole where the mosquito enters, so the initial position vector is r ₁ = 0 i + 0 j + 0 k . The mosquito flies to the diagonally opposite upper corner of the net. The length of the bed is along the X-axis, so the x-component of the displacement is 7 ft . The width of the bed is along the Y-axis, so the y-component of the displacement is 4 ft . The vertically upward direction is along the Z-axis, so the z-component of the displacement is 3 ft . The final position vector of the mosquito is r