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: The two vectors shown in Fig. 3-21 lie in an xy plane. What are the signs of the x and y components,... Problem 3Q: Being part of the Gators, the University of Florida golfing team must play on a putting green with... Problem 4Q Problem 5Q: Which of the arrangements of axes in Fig. 3-23 can be labeled right-handed coordinate system? As... Problem 6Q Problem 7Q Problem 8Q: If ab=ac, must b equal c? Problem 9Q: If F = qv B and v is perpendicular to B, then what is the direction of B in the three situations... Problem 10Q: Figure 3-25 shows vector A and four other vectors that have the same magnitude but differ in... Problem 11Q: In a game held within a three-dimensional maze, you must move your game piece from start, at xyz... Problem 12Q: The x and y components of four vectors a,b,c and d are given below. For which vectors will your... 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: A displacement vector r in the xy plane is 15 m long and directed at angle = 30 in Fig. 3-26.... 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: In Fig. 3-27, a heavy piece of machinery is raised by sliding it a distance d = 12.5 m along a plank... 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: SSM ILW WWW The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are... 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: GO Typical backyard ants often create a network of chemical trails for guidance. Extending outward... 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: In Fig. 3-31, a cube of edge length a sits with one corner at the origin of an xyz coordinate... 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: Two vectors, r and s, lie in the xy plane. Their magnitudes are 4.50 and 7.30 units, respectively,... 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: SSM ILW The three vectors in Fig. 3-33 have magnitudes a = 3.00 m, b = 4.00 m, and c = 10.0 m and... Problem 44P Problem 45P: Vectors A and B lie in an xy plane. A has magnitude 8.00 and angle 130; B has components Bx = 7.72... 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: Rock faults are ruptures along which opposite faces of rock have slid past each other. In Fig. 3-35,... Problem 52P Problem 53P Problem 54P: For the vectors in Fig. 3-32, with a = 4, b = 3, and c = 5, calculate a a b, b a c, and c b c. 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: a In unit-vector notation, what is r = a b c if a = 5.0 i 4.0 j 6.0 k, b = 2.0 i 2.0 j 3.0 k,... 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: A bank in downtown Boston is robbed see the map in Fig. 3-36. To elude police, the robbers escape by... Problem 69P: A wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor Fig. 3-37. At time... 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: In Fig. 3-38, the magnitude of a is 4.3, the magnitude of b is 5.4, and = 46. Find the area of the... format_list_bulleted
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