The XYZ military has developed a new combat vehicle equipped with a laser weapon that can only be fired parallel to the plane on which the vehicle is located. The laser has a 360ndegree rotation capability but cannot be tilted. To communicate with the base camp, the vehicle relies on a hovering drone, but the vehicle can only establish communication if and only if the drone aligns with the normal line of the laser plane that passes through the vehicle's location {see figure}. The vehicle was tested on a smooth terrain defined by the function 2 = f(x, y) f(x,y) = sin(3r2 -l- yz) Note: y axis is pointing in north and x axis is pointing at east directions. 1) Ifthe vehicle is currently at the point (10.50}, find the collection of ALL points which can be shot using the laser. Assume the height of the vehicle is zero. 2) To communicate with the vehicle, a drone operator has to move the drone onto the normal line of laser plane. Find the equation of communication line. 3) Ifthe device can only climb slopes that are less than 70 degrees, can this vehicle go in the direction which is given by bearing of 30? 4) If the vehicle is at {10,50}, what is the easiest direction the vehicle can go downhill. Provide the direction as a bearing. 5) The device is controlled by two joy sticks which controls x direction and y direction; x(t) = 5t2 + 10 and y(t) = sin(t) + 50. What is the rate of change of elevationlz) at point {10,50} Communication Laser