Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 3, Problem 6PQ
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Can you solve this and show steps? Also, what would be the direction of vector A x B be in the x-direction? Positive z or negative z?
Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start
at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move
A.
are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is
the magnitude dnet of your final displacement from the origin?
(a) A = 3.01, B = 6.0
(b) A =
- 4.01, B = 3.0k
-
(c) A = 2.0₁, B = 4.0k
(d) A = 3.0₁, B
- 8.0
(e) A = 4.0K, B = - 2.01
(f) A = 2.01, B
- 4.01
Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start
at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move
are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is
the magnitude dnet of your final displacement from the origin?
(a) A = 3.01, B = 6.0
(b) A = -4.01, B = 3.0k
(c) A = 2.0j, B = 4.0k
(d) A = 3.0₁, B = - 8.0
(e) A = 4.0k, B = -2.01
(f) A 2.01, B = - 4.0j
=
Number i 13.4
Units
m
Chapter 3 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 3.1 - The three vectors A,B and C in Figure 3.7 all have...Ch. 3.1 - Prob. 3.2CECh. 3.1 - a. You wish to represent free-fall acceleration...Ch. 3.2 - Prob. 3.4CECh. 3.3 - Prob. 3.5CECh. 3 - A velocity vector has a magnitude of 720 m/s. Two...Ch. 3 - A young boy throws a baseball through a window. a....Ch. 3 - Prob. 3PQCh. 3 - Prob. 4PQCh. 3 - Vector A, with a magnitude of 18 units, points in...
Ch. 3 - Prob. 6PQCh. 3 - Prob. 7PQCh. 3 - The layout of the town of Popperville is a...Ch. 3 - Prob. 9PQCh. 3 - Prob. 10PQCh. 3 - Prob. 11PQCh. 3 - Prob. 12PQCh. 3 - In Chapter 5, you will study a very important...Ch. 3 - Refer to the situation described in Problem 14....Ch. 3 - Vector A has a magnitude of 4.50 m and makes an...Ch. 3 - Miguel, an Ultimate Frisbee player, is running...Ch. 3 - A baseball diamond consists of four plates...Ch. 3 - Prob. 19PQCh. 3 - Prob. 20PQCh. 3 - Two aircraft approaching an aircraft carrier are...Ch. 3 - Prob. 22PQCh. 3 - A truck driver delivering office supplies downtown...Ch. 3 - Prob. 24PQCh. 3 - Carolyn rides her bike 40.0 south of west for 5.40...Ch. 3 - Prob. 26PQCh. 3 - Prob. 27PQCh. 3 - Prob. 28PQCh. 3 - Prob. 29PQCh. 3 - Prob. 30PQCh. 3 - Prob. 31PQCh. 3 - Prob. 32PQCh. 3 - Prob. 33PQCh. 3 - Prob. 34PQCh. 3 - A firecracker explodes into four equal pieces...Ch. 3 - Prob. 36PQCh. 3 - Prob. 37PQCh. 3 - Prob. 38PQCh. 3 - Prob. 39PQCh. 3 - Figure P3.40 shows a map of Grand Canyon National...Ch. 3 - Prob. 41PQCh. 3 - The same vectors that are shown in Figure P3.6 are...Ch. 3 - A supertanker begins in Homer, Alaska, sails 125...Ch. 3 - A Three vectors are shown in Figure P3.44, but...Ch. 3 - A vector A=(5.20i3.70j) m and a vector...Ch. 3 - Prob. 46PQCh. 3 - Prob. 47PQCh. 3 - Prob. 48PQCh. 3 - An airplane leaves city A and flies a distance d1...Ch. 3 - An aircraft undergoes two displacements. If the...Ch. 3 - The resultant vector R=2AB2C has zero magnitude....Ch. 3 - A Three vectors all have the same magnitude. The...Ch. 3 - The two-dimensional vectors A and B both have...Ch. 3 - Prob. 54PQCh. 3 - Two birds begin next to each other and then fly...Ch. 3 - Prob. 56PQCh. 3 - General Problems 57. G A spider undergoes the...Ch. 3 - Peter throws a baseball through a houses window....Ch. 3 - Prob. 59PQCh. 3 - Prob. 60PQCh. 3 - Prob. 61PQCh. 3 - A glider aircraft initially traveling due west at...Ch. 3 - What are the magnitude and direction of a vector...Ch. 3 - Prob. 64PQCh. 3 - Prob. 65PQCh. 3 - Prob. 66PQCh. 3 - Prob. 67PQCh. 3 - Prob. 68PQCh. 3 - Prob. 69PQCh. 3 - Prob. 70PQCh. 3 - Vector F is proportional to vector A such that...Ch. 3 - Prob. 72PQCh. 3 - Prob. 73PQCh. 3 - Problems 74 and 75 are paired. 74. N A classroom...Ch. 3 - Prob. 75PQ
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- Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is the magnitude dnet of your final displacement from the origin? (a) A = 3.0î, B = 6.0ĵ → (b) A = - 4.01, B = 3.0k (c) A = 2.0₁, B = 4.0k (d) A = 3.0), B = - 8.01 (e) A = 4.0K, B = - 2.0î (f) A = 2.01, B = - 4.0j f Xarrow_forwardPosition vectors of two particles, A and B are given:A = 3i + 4j + 5k metersB = -4i + 2j - 7k metersVector C is the position vector of particle C that is the cross product of vectors A and B (C = A x B). Together, particles A, B, and C become vertices of a triangular plane in space. What is the perimeter of the triangle that is formed by the three particles? Position vectors of two particles, A and B are given:A = 3i + 4j + 5k metersB = -4i + 2j - 7k metersVector C is the position vector of particle C that is the cross product of vectors A and B (C = A x B). Together, particles A, B, and C become vertices of a triangular plane in space. What is the area of the triangle that is formed by the three particles?arrow_forwardFind the coordinates of the centroid of the homogeneous plate OPBA shown in Figure Q3.c. The plate has a uniform thickness. The coordinates of point A are (0,2) and the coordinates of point B are (6,4). y B(6,4) A (0,2) Figure Q3.carrow_forward
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