1.1 For the following let 5 = 1 e Let [1:] denote the oeiling function. which maps :r to the smallest integer greater than or equal to 1'. For example [4.4] = 5 or [ti] = E. u A hearing is the angle between the positive Y axis and any position vector. For example a heating N till\" E means an angle of ll\" from the Y axis [North]: in direction East. An airplane travels at a xed altitude with a speed of ll} miles per hour with heating N [I'S'l x Ill)\" w {this yields a vector with magnitude of 600 miles. and direction N {[3,1'2] 3-: I'll)" W]. After some time. the plane encounters a wind with speed of ll miles per hour in direction N and E. :1} Draw a vector diagram depleting the infonnatiorn described above. in 1What are the resultant velocity (vector). speed (vector magnitude) and direction {vector angle] of the air plane? (Hint: convert any angles to radians and then use WDl'HJI] Alpha or a calculator to present your answers}. 1.2 For the following let 5 = 1 In: Si 5'2. 3