MA 154 Lesson 21 DelworthMA 154 Lesson 21 DelworthSection 8.3 VectorsIf vector a = 6i -7j, find a unit vector that has…(a) the same direction as a.(b) the opposite direction as a.If vector b = 9, 4-, find a vector that has…(a) twice the magnitude of b in the same direction as b.(b) one-half the magnitude of b in the same direction as b.(c) twice the magnitude of b in the opposite direction as b.(d) one-half the magnitude of b in the opposite direction as b.If vector c = 5i – 12j, find a vector of magnitude 5 that has…1MA 154 Lesson 21 DelworthSection 8.3 Vectors(a) the same direction as c. (b) the opposite direction as c.2MA 154 Lesson 21 DelworthSection 8.3 VectorsA quarterback releases a football with a velocity of 50 ft/sec at an angle of 35 with the horizontal. Approximate the horizontal and vertical components of the vector.The magnitudes and directions of two forces acting at a point P are given in (a) and (b). Approximate the magnitude and direction of the resultant vector.(a) 70 lb, 320 (b) 40 lb, 30The magnitudes and directions of two forces acting at a point P are given in (a) and (b). Approximate the magnitude and direction of the resultant vector.(a) 20 kg, S17W (b) 50 kg, N82W3MA 154 Lesson 21 DelworthSection 8.3 VectorsAn airplane with airspeed of 300 mph is flying in the direction 60 and a 50 mph wind is blowing directly from the west. The direction of p + w gives the true course of the airplane relative to the ground, and ||p + w|| is the ground speed of the airplane. Approximate the true course and ground speed.An airplane pilot wished to maintain a true course in the direction 300 with a ground speed of 450 mph when the wind is blowing directly north at 60 mph. Approximate the required airspeed and compass heading.4MA 154 Lesson 21 DelworthSection 8.3 VectorsFor a motorboat moving at a speed of 40 mph to travel directly north across a river, it must aim at a point that has the bearing N20E. If the current is flowing directly west, approximate the rate at which it
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