Answer Happy

For this question: Describe how to determine the magnitude and direction of two and three-dimensional vectors. Apply vector concepts to determine velocity, speed, and direction of entities occurring in geometric problems. . Let [x] denote the ceiling function, which maps x to the smallest integer greater than or equal to x. For example [4.41 = 5 or [6] = 6. A bearing is the angle between the positive Y axis and any position vector. For example, a bearing N 60º E means an angle of 60 from the Y axis (North) in direction East. o An airplane travels at a fixed altitude with a speed of 600 miles per hour with bearing N ([2/2] 10) • W (this yields a vector with magnitude of 600 miles, and direction N ([2/2] 10). W). After some time, the plane encounters a wind with speed of 60 miles per hour in direction N 60• E. a) Draw a vector diagram depicting the information described above. b) What are the resultant velocity (vector), speed (vector magnitude) and direction (vector angle) of the airplane? (Hint: convert any angles to radians and then use Wolfram Alpha or a calculator to present your answers).