. Find scalar c > 0 such that the magnitude of 4i + cj + 12k is 13. . A bird ies due east at 24 mph while experiencing an 8 mph wind blowing 30 north of east and a 5 mph updraft. What is the bird's groundspeed in mph, which is the speed as observed from the ground? . Find t such that (2t 1, 5 15, 2t) is orthogonal to (2, 1, 2). . For the following vectors u and v, express u as the sum u = p + n where p is parallel to v and n is orthogonal to v: (a) u = (3,4), v = (1,1) (b) u = (2,2, 7), v = (1,1, 2)