Problem 1Q: Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same... Problem 2Q Problem 3Q Problem 4Q Problem 5Q Problem 6Q Problem 7Q Problem 8Q: If ab=ac, must b equal c? Problem 9Q Problem 10Q Problem 11Q: In a game held within a three-dimensional maze, you must move your game piece from start, at xyz... Problem 12Q Problem 13Q: Which of the following are correct meaningful vector expressions? What is wrong with any incorrect... Problem 1P: SSM What are a the x component and b the y component of a vector a in the xy plane if its direction... Problem 2P Problem 3P: SSM The x component of vector A is 25.0 m and the y component is 40.0 m. a What is the magnitude of... Problem 4P: Express the following angles in radians: a 20.0, b 50.0, c 100. Convert the following angles to... Problem 5P: A ship sets out to sail to a point 120 km due north. An unexpected storm blows the ship to a point... Problem 6P Problem 7P: Consider two displacements, one of magnitude 3 m and another of magnitude 4 m. Show how the... Problem 8P: A person walks in the following pattern: 3.1 km north, then 2.4 km west, and finally 5.2 km south, a... Problem 9P Problem 10P Problem 11P: SSM a In unit-vector notation, what is the sum a b if a = 4.0 m i 3.0 m j and b = 13.0 m i 7.0 m... Problem 12P: A car is driven east for a distance of 50 km, then north for 30 km, and then in a direction 30 east... Problem 13P: A person desires to reach a point that is 3.40 km from her present location and in a direction that... Problem 14P: You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy... Problem 15P Problem 16P: For the displacement vectors a=(3.0m)i+(4.0m)j and b=(5.0m)i+(2.0m)j, give a b in a unit-vector... Problem 17P: GO ILW Three vectors a, b, and c each have a magnitude of 50 m and lie in an xy plane. Their... Problem 18P Problem 19P: In a game of lawn chess, where pieces are moved between the centers of squares that are each 1.00 m... Problem 20P: An explorer is caught in a whiteout in which the snowfall is so thick that the ground cannot be... Problem 21P: GO An ant, crazed by the Sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt.... Problem 22P: a What is the sum of the following four vectors in unit-vector notation? For that sum, what are b... Problem 23P Problem 24P Problem 25P: GO Oasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction... Problem 26P: What is the sum of the following four vectors in a unit-vector notation, and as b a magnitude and c... Problem 27P: GO If d+d2=5d3,d1d2=3d3, and d3=2 i +4 j , then what are, in unit-vector notation, a d1 and b d2? Problem 28P: Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50 m due east, then... Problem 29P Problem 30P: GO Here are two vectors: a=(4.0m)i (3.0m)jandb=(6.0m)i +(8.0m)j. What are a the magnitude and b the... Problem 31P Problem 32P Problem 33P: For the vectors in Fig. 3-32, with a = 4, b = 3, and c = 5, what are a the magnitude and b the... Problem 34P Problem 35P Problem 36P: If d1=3i2j+4k and d2=5i+2jk, then what is (d1+d2)(d14d2)? Problem 37P Problem 38P: GO For the following three vectors, what is 3C(2AB)? A=2.00i +3.00j 4.00kB=3.00i +4.00j +2.00k... Problem 39P Problem 40P: GO Displacement d1 is in the yz plane 63.0 from the positive direction of the y axis, has a positive... Problem 41P: SSM ILW WWW Use the definition of scalar product, a b= ab cos , and the fact that a b = axbx ayby... Problem 42P Problem 43P Problem 44P Problem 45P Problem 46P Problem 47P: Vectors A and B lie in an xy plane. A has magnitude 8.00 and angle 130; B has components Bx = 7.72... Problem 48P: GO Two vectors a and b have the components, in meters, ax = 3.2, ay = 1.6, bx = 0.50, by = 4.5. a... Problem 49P: SSM A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 90.0 km... Problem 50P: Vector d1 is in the negative direction of a y axis, and vector d2 is in the positive direction of an... Problem 51P Problem 52P Problem 53P Problem 54P Problem 55P: A particle undergoes three successive displacements in a plane, as follows: d1, 4.00 m southwest;... Problem 56P: Find the sum of the following four vectors in a unit-vector notation, and as b a magnitude and c an... Problem 57P Problem 58P: A vector d has a magnitude of 2.5 m and points north. What are a the magnitude and b the direction... Problem 59P: A has the magnitude 12.0 m and is angled 60.0 counterclockwise from the positive direction of the x... Problem 60P Problem 61P Problem 62P: A golfer takes three putts to get the ball into the hole. The first putt displaces the ball 3.66 m... Problem 63P Problem 64P: SSM WWW A room has dimensions 3.00 m height 3.70 m 4.30 m. A fly starting at one corner flies... Problem 65P: A protester carries his sign of protest, starting from the origin of an xyz coordinate system, with... Problem 66P: Consider a in the positive direction of x, b in the positive direction of y, and a scalar d. What is... Problem 67P: Let i be directed to the east, j be directed to the north, and k be directed upward. What are the... Problem 68P Problem 69P Problem 70P: A woman walks 250 m in the direction 30 east of north, then 175 m directly east. Find a the... Problem 71P: A vector d has a magnitude 3.0 m and is directed south. What are a the magnitude and b the direction... Problem 72P: A fire ant, searching for hot sauce in a picnic area, goes through three displacements along level... Problem 73P: Two vectors are given by a = 3.0 i 5.0 j and b = 2.0 i 4.0 j. Find a a b, b a b, c a b b, and... Problem 74P Problem 75P: Find a north cross west, b down dot south, c east cross up, d west dot west, and e south cross... Problem 76P: A vector B, with a magnitude of 8.0 m, is added to a vector A, which lies along an x axis. The sum... Problem 77P: A man goes for a walk, starting from the origin of an xyz coordinate system, with the xy plane... Problem 78P: What is the magnitude of a b a if a = 3.90, b = 2.70, and the angle between the two vectors is... Problem 79P Problem 80P Problem 81P Problem 82P Problem 83P Problem 84P Problem 85P Problem 86P Problem 87P Problem 88P format_list_bulleted
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