MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
4th Edition
ISBN: 9780135245033
Author: Knight
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 2EAP
Trace the vectors in FIGURE EX3.2 onto your paper. Then find
(a)
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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
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
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
X
Chapter 3 Solutions
MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB
Ch. 3 - Can the magnitude of the displacement vector be...Ch. 3 - If C=A+B, can C = A + B? Can C>A + B? For each,...Ch. 3 - If C=A+B can C = 0? Can C< O? For each, show how...Ch. 3 - Is it possible to add a scalar to a vector? If so,...Ch. 3 - How would you define the zero vector ?Ch. 3 - Can a vector have a component equal to zero and...Ch. 3 - Can a vector have zero magnitude if one of its...Ch. 3 - Suppose two vectors have unequal magnitudes. Can...Ch. 3 - Are the following statements true or false?...Ch. 3 - I. Trace the vectors in FIGURE EX3.1 onto your...
Ch. 3 - Trace the vectors in FIGURE EX3.2 onto your paper....Ch. 3 - a. What are the x- and v-components of vector E...Ch. 3 - A velocity vector 40° below the positive x-axis...Ch. 3 - A position vector in the first quadrant has an...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Let C = (3.15 m, 15° above the negative x-axis)...Ch. 3 - A runner is training for an upcoming marathon by...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Let a. Write Vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Din component form. b. Draw a...Ch. 3 - Let A = 4î - 2j, B = -3î + 5j, and E = 2 A + 3 B...Ch. 3 - Let A = 41 - 2j, B = -3î + 5j, and F = A -4 B . a....Ch. 3 - 17. Let = 2î + 3? and = 2î — 2?. Find the...Ch. 3 - Prob. 18EAPCh. 3 - 19. What are the x– and y- components of the...Ch. 3 - 20. For the three vectors shown Figure EX3.20, + +...Ch. 3 - Prob. 21EAPCh. 3 - 22. Let = (3.0 m, 20° south of east), = (2.0 m,...Ch. 3 - The position of a particle as a function of time...Ch. 3 - a. What is the angle between vectors E and F in...Ch. 3 - FIGURE P3.25 shows vectors A and B . Find vector C...Ch. 3 - Prob. 26EAPCh. 3 - Prob. 27EAPCh. 3 - Prob. 28EAPCh. 3 - The minute hand on a watch is 2.0 cm in length....Ch. 3 - Prob. 30EAPCh. 3 - Ruth sets out to visit her friend Ward, who lives...Ch. 3 - A cannon tilted upward at 30° fires a cannonball...Ch. 3 - Prob. 33EAPCh. 3 - Prob. 34EAPCh. 3 - A pine cone falls straight down from a pine tree...Ch. 3 - Prob. 36EAPCh. 3 - Prob. 37EAPCh. 3 - Your neighbor Paul has rented a truck with a...Ch. 3 - Tom is climbing a 3.0-m-long ladder that leans...Ch. 3 - The treasure map in FIGURE P3.40 gives the...Ch. 3 - The bacterium E. coli is a single-cell organism...Ch. 3 - A flock of ducks is trying to migrate south for...Ch. 3 - FIGURE P3.43 shows three ropes tied together in a...Ch. 3 - I Four forces are exerted on the object shown in...Ch. 3 - FIGURE P3.45 shows four electric charges located...
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