Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
Chapter 12, Problem 50PQ
To determine
Whether the dot product and the cross product between two vectors both can be zero.
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
1. Find the dot product of A and B.
2. Find the magnitude of the cross product of A and B.
3. Given with three vectors,A = 6 m, 60 deg N of E,B = -5i + 2j mC = 7 m, SFind (A · B)C - A · (B x C)
Which of the following are true if two vectors are equal? Select as many.
I. Their magnitudes are equal
II. They point in the same direction
III. Their dot product is equal to the product of their magnitudes
IV. Their cross product is zero
Question 5
Given two vectors:
M = -3î + 6j – 5k and N = -2î + 3j + k
The cross product of MxN equals
Choose the best answer.
A
-9i -7j +3k
B
21i +13j +3k
9i +7j -3k
13
E
No Answer
Chapter 12 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 12.1 - Figure 12.5 shows two rotating objects. Indicate...Ch. 12.2 - Prob. 12.2CECh. 12.2 - Prob. 12.3CECh. 12.2 - Prob. 12.4CECh. 12.2 - Prob. 12.5CECh. 12.5 - For each exercise shown in Figure 12.22, how does...Ch. 12 - Often, we model the Moon as a particle in a...Ch. 12 - Suppose a satellite orbits the Earth such that it...Ch. 12 - Prob. 3PQCh. 12 - Prob. 4PQ
Ch. 12 - A ceiling fan is rotating counterclockwise with a...Ch. 12 - As seen from above the Earths North Pole, the...Ch. 12 - A rotating objects angular position is given by...Ch. 12 - A rotating objects angular position is given by...Ch. 12 - Jupiter rotates about its axis once every 9 hours...Ch. 12 - Prob. 10PQCh. 12 - Prob. 11PQCh. 12 - Prob. 12PQCh. 12 - Prob. 13PQCh. 12 - Prob. 14PQCh. 12 - Prob. 15PQCh. 12 - A disk rolls up an inclined plane as shown in...Ch. 12 - Jeff, running outside to play, pushes on a...Ch. 12 - A potters wheel rotating at 240 rev/min is...Ch. 12 - Friction in an old clock causes it to lose 1...Ch. 12 - A wheel starts from rest and in 12.65 s is...Ch. 12 - Prob. 21PQCh. 12 - Starting from rest, a wheel reaches an angular...Ch. 12 - A potters wheel is rotating with an angular...Ch. 12 - The angular speed of a wheel is given by (t) =...Ch. 12 - Prob. 25PQCh. 12 - Prob. 26PQCh. 12 - An electric food processor comes with many...Ch. 12 - Prob. 28PQCh. 12 - A bicyclist is testing a new racing bike on a...Ch. 12 - Prob. 30PQCh. 12 - A disk is initially at rest. A penny is placed on...Ch. 12 - Prob. 32PQCh. 12 - Consider again the two wind turbines in Problem...Ch. 12 - Consider again the two wind turbines in Problem...Ch. 12 - In testing an automobile tire for proper...Ch. 12 - Prob. 36PQCh. 12 - A merry-go-round at a childrens park begins at...Ch. 12 - A wheel rotating at a constant rate of 1850...Ch. 12 - Why are doorknobs placed on the edge opposite the...Ch. 12 - Prob. 40PQCh. 12 - Prob. 41PQCh. 12 - Prob. 42PQCh. 12 - A wheel of inner radius r1 = 15.0 cm and outer...Ch. 12 - A uniform plank 6.0 m long rests on two supports,...Ch. 12 - Prob. 45PQCh. 12 - Prob. 46PQCh. 12 - Prob. 47PQCh. 12 - Prob. 48PQCh. 12 - Prob. 49PQCh. 12 - Prob. 50PQCh. 12 - Prob. 51PQCh. 12 - Given a vector A=4.5+4.5j and a vector B=4.5+4.5j,...Ch. 12 - A square plate with sides 2.0 m in length can...Ch. 12 - Prob. 54PQCh. 12 - A disk with a radius of 4.5 m has a 100-N force...Ch. 12 - Disc jockeys (DJs) use a turntable in applying...Ch. 12 - Prob. 57PQCh. 12 - Prob. 58PQCh. 12 - A wheel initially rotating at 85.0 rev/min...Ch. 12 - Prob. 60PQCh. 12 - A centrifuge used for training astronauts rotating...Ch. 12 - Problems 62 and 63 are paired. 62. C A disk is...Ch. 12 - Prob. 63PQCh. 12 - A potters wheel rotates with an angular...Ch. 12 - Prob. 65PQCh. 12 - Prob. 66PQCh. 12 - Prob. 67PQCh. 12 - Lara is running just outside the circumference of...Ch. 12 - The propeller of an aircraft accelerates from rest...Ch. 12 - A ball rolls to the left along a horizontal...Ch. 12 - Three forces are exerted on the disk shown in...Ch. 12 - Consider the disk in Problem 71. The disks outer...Ch. 12 - Prob. 73PQCh. 12 - Prob. 74PQCh. 12 - Prob. 75PQCh. 12 - Prob. 76PQCh. 12 - Prob. 77PQCh. 12 - Prob. 78PQCh. 12 - Prob. 79PQCh. 12 - Prob. 80PQCh. 12 - If the rod in Problem 79 is in equilibrium, what...Ch. 12 - As a compact disc (CD) spins clockwise as seen...Ch. 12 - A disk-shaped machine part has a diameter of 40.0...Ch. 12 - Prob. 84PQ
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- If the dot product of two vectors vanishes, what can you say about their directions?arrow_forwardWhich of the following statements is true about the relationship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) AB is larger than AB. (b) AB is smaller than AB. (c) AB could be larger or smaller than AB, depending on the angle between the vectors. (d) AB could be equal to AB.arrow_forwardTo develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250kg-m2 and the net force she exerts is 750 N at an effective perpendicular lever arm of 2.00 cm? (b) How much work does she do?arrow_forward
- Given a vector A=4.5+4.5j and a vector B=4.5+4.5j, determine the magnitude of the cross product of these two vectors, AB. Hint: Make a sketch of both vectors including a coordinate system.arrow_forwardA particle moves along a curved path y(x)=(10m){1+cos[0.1m1]x} , from x=0 to x=10m , subject to a tangential force of variable magnitude F(x)=(10N)sin[(0.1m-1)x] . How much work does the force do? (Hint: Consult a table of integrals or use a numerical integration program.)arrow_forwardWhat is the angle between two unit vectors if their dot product is 0.5?arrow_forward
- Given the magnitude of two vectors below and their dot product, what is the angle (in radians) between the two vectors? |A|=4.55 N |B|=8.28N A.B= -20.935 N^2arrow_forward6. Consider the two vectors. 4-3-4j B = 6k a. What is the cross product AXB? b. What is the dot product A. B?arrow_forward44. The dot product is used to determine the I. angle between two vectors. I. projection of a vector in a specified direction. II. moment of a force. I only O Il only 1&|I Ill only 45. What is a position vector? A vector represented by a line segment beginning at the origin of an orthogonal coordinate system. O A vector with its position defined in the orthogonal coordinate system. A vector whose arrow is pointing to the right in the orthogonal coordinate system. A vector whose line segment ends at the origin of the orthogonal coordinate system. 46. The scalar product is useful for: determining the weight of falling object. angle between two vectors. resultant of two vectors. O vector product of two vectors,arrow_forward
- 3. Given two vectors: P = 2.0î — 3.0ĵ + 4.0k and ₹ = −2.0î + 4.0k. Determine a.) the magnitude of the vector sum P + Q ? b.) the magnitude of the vector difference P - Q? c.) scalar product P. and the angle between P and Q? d.) the cross product QXP?arrow_forwardWhich of the following statement is true about the relationship between the dot product of two vectors and the product of magnitudes of the vectors? a. A.B is larger than AB b. A.B is smaller than AB c. A.B could be larger or smaller than AB, depending on the angle between the vectors d. A.B could be equal to ABarrow_forward10arrow_forward
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