Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 9, Problem 19PQ
To determine
To show that dot product is commutative.
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Part A
Evaluate the dot product A B if A = 3 +9;
and B = 9i – 93.
Consider two vectors A = i +i+k and B = -i + j+ k. Which of the following statements about the
given vectors is not true?
O The dot product of the two vectors is equal to 1.
O The cross product between the two vectors has a z-component equal to zero.
O The magnitudes of the two vectors are the same.
O The angle between the two vectors is 70.52°
Answer the question correctly. Show the complete solution in a paper.
Chapter 9 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 9.4 - In the three cases shown in Figure 9.11, a force...Ch. 9.6 - Prob. 9.2CECh. 9.6 - Prob. 9.3CECh. 9.7 - Prob. 9.4CECh. 9.7 - Prob. 9.5CECh. 9.9 - Prob. 9.6CECh. 9 - Pick an isolated system for the following...Ch. 9 - Prob. 2PQCh. 9 - Prob. 3PQCh. 9 - Prob. 4PQ
Ch. 9 - Prob. 5PQCh. 9 - Prob. 6PQCh. 9 - Prob. 7PQCh. 9 - A 537-kg trailer is hitched to a truck. Find the...Ch. 9 - Prob. 9PQCh. 9 - A helicopter rescues a trapped person of mass m =...Ch. 9 - Prob. 11PQCh. 9 - An object is subject to a force F=(512i134j) N...Ch. 9 - Prob. 13PQCh. 9 - Prob. 14PQCh. 9 - Prob. 15PQCh. 9 - Prob. 16PQCh. 9 - Prob. 17PQCh. 9 - Prob. 18PQCh. 9 - Prob. 19PQCh. 9 - Prob. 20PQCh. 9 - Prob. 21PQCh. 9 - Prob. 22PQCh. 9 - A constant force of magnitude 4.75 N is exerted on...Ch. 9 - In three cases, a force acts on a particle, and...Ch. 9 - An object of mass m = 5.8 kg moves under the...Ch. 9 - A nonconstant force is exerted on a particle as it...Ch. 9 - Prob. 27PQCh. 9 - Prob. 28PQCh. 9 - Prob. 29PQCh. 9 - A particle moves in the xy plane (Fig. P9.30) from...Ch. 9 - A small object is attached to two springs of the...Ch. 9 - Prob. 32PQCh. 9 - Prob. 33PQCh. 9 - Prob. 34PQCh. 9 - Prob. 35PQCh. 9 - Prob. 36PQCh. 9 - Prob. 37PQCh. 9 - Prob. 38PQCh. 9 - A shopper weighs 3.00 kg of apples on a...Ch. 9 - Prob. 40PQCh. 9 - Prob. 41PQCh. 9 - Prob. 42PQCh. 9 - Prob. 43PQCh. 9 - Prob. 44PQCh. 9 - Prob. 45PQCh. 9 - Prob. 46PQCh. 9 - Prob. 47PQCh. 9 - Prob. 48PQCh. 9 - Prob. 49PQCh. 9 - A small 0.65-kg box is launched from rest by a...Ch. 9 - A small 0.65-kg box is launched from rest by a...Ch. 9 - A horizontal spring with force constant k = 625...Ch. 9 - A box of mass m = 2.00 kg is dropped from rest...Ch. 9 - Prob. 54PQCh. 9 - Return to Example 9.9 and use the result to find...Ch. 9 - Prob. 56PQCh. 9 - Crall and Whipple design a loop-the-loop track for...Ch. 9 - Prob. 58PQCh. 9 - Calculate the force required to pull a stuffed toy...Ch. 9 - Prob. 60PQCh. 9 - Prob. 61PQCh. 9 - Prob. 62PQCh. 9 - An elevator motor moves a car with six people...Ch. 9 - Prob. 64PQCh. 9 - Figure P9.65A shows a crate attached to a rope...Ch. 9 - Prob. 66PQCh. 9 - Prob. 67PQCh. 9 - Prob. 68PQCh. 9 - Prob. 69PQCh. 9 - Prob. 70PQCh. 9 - Prob. 71PQCh. 9 - Estimate the power required for a boxer to jump...Ch. 9 - Prob. 73PQCh. 9 - Prob. 74PQCh. 9 - Prob. 75PQCh. 9 - Prob. 76PQCh. 9 - Prob. 77PQCh. 9 - Prob. 78PQCh. 9 - Prob. 79PQCh. 9 - A block of mass m = 0.250 kg is pressed against a...Ch. 9 - On a movie set, an alien spacecraft is to be...Ch. 9 - Prob. 82PQCh. 9 - A spring-loaded toy gun is aimed vertically and...Ch. 9 - Prob. 84PQCh. 9 - The motion of a box of mass m = 2.00 kg along the...Ch. 9 - Prob. 86PQCh. 9 - Prob. 87PQCh. 9 - Prob. 88PQ
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- (a) For what values of the angle between two vectors is their scalar product positive? (b) For what values of is their scalar product negative?arrow_forwardE. Engagement Consider the vectors given below A = Azî + Ayĵ + A,k B = Bxî + Byj + B,k Get the dot product of A andB by following the steps below. A·B = (Azî + Ayĵ + A‚k)(Bxî + Byĵ + B,k) Step 1: Multiply the vectors, the way you multiply polynomials. You should get 9 terms. Ā ·B = Step 2: Rearrange your terms. Set side by side the components and the unit vector. A ·B = Step 3: Apply the dot products to your unit vectors. Recall: î · î = j· j = k · k = 1 and î ·j = î · k = j · k = 0 A·B =. Step 4: Write the simplified and the final dot product A·B =arrow_forwardFor the vectors A=-21i+21j and B=7i+23j find the result of the dot product A.B Select one: 553.0 O 364.00 O-630.0 O-147.0 O 336.0arrow_forward
- Problem 1 Let A = 3 i - 3j +k and B= -2 i + (-1) j + 5 k. A. What is the cross product C = B x A ? B. What is the dot product C B?arrow_forwardA If the scalar product of two vectors, * and C, is A = 2.0 equal to -3.5, if two vectors when they are drawn starting from the same point is equal to 130°, what is the magnitude of and the angle between thearrow_forwardsolve the example 4, ignore the solution in the picturearrow_forward
- Part B Evaluate the dot product A- B it A = -8i + 45 and B- 92 +73.arrow_forwardPeter propels a penguin with mass 10.0kg from 2.50m above the ground at an angle 30.0o from the horizontal axis (ground), with an initial speed of 15.0 m/s. Assuming the penguin remains rigid (scared, so assume the particle model!) and ignoring any rotational effects, Using the isolated system model, what is the maximum potential energy of the penguin? a. 1370 Joules b. 1125 Joules c. 245 Joules d. 2250 Joulesarrow_forwardB2arrow_forward
- Part A Find the angle between each of the following pairs of vectors A = Agi + Ayj and B = Bại + Byj. Az, = -1.60, Ay, =7.80; Bz, =2.90, Bu, =-3.30. You may want to review (Page). ΑΣΦ ? For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Finding an angle with the scalar product. Submit Previous Answers Request Answerarrow_forwardVector 4 is 24.4 units long, and is directed along the x-axis. Vector B is 24.3 units long, and is 123° counter-clockwise from the x-axis. A.B. Calculate the scalar product Your Answer: Answerarrow_forwardM Q.n.3 A central force is defined to be a force that points radially, and whose magnitude depends on only r. That is, F(r) = F(r) r^. Show that a central Force is a conservative force, by explicitly showing that Vx F=0arrow_forward
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