Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 6CQ
Can a vector with zero magnitude heve one or more components that are nonzero? Explain.
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Can a vector with zero magnitude have one or more componentsthat are nonzero? Explain.
Can a vector have zero magnitude and a nonzero component? If no, why not? If yes, give an example.
A vector has zero magnitude. Is it necessary to specify its direction? Explain.
Chapter 3 Solutions
Physics (5th Edition)
Ch. 3.1 - Is it possible for two vectors to be different...Ch. 3.2 - A vector has the components Ax = 5 m and Ay = 3 m....Ch. 3.3 - Several vectors are shown in Figure 3-16. The red...Ch. 3.4 - Which of the vectors shown in Figure 3-20 has the...Ch. 3.5 - An object moves along the brown path in Figure...Ch. 3.6 - Suppose the speed of the boat is increased in part...Ch. 3 - For the following quantities, indicate which is a...Ch. 3 - Which, if any of the vectors shown in Figure 3-36...Ch. 3 - Given that A+B=0, (a) how does the magnitude of B...Ch. 3 - Can a component of a vector be greater than the...
Ch. 3 - Prob. 5CQCh. 3 - Can a vector with zero magnitude heve one or more...Ch. 3 - Prob. 7CQCh. 3 - Prob. 8CQCh. 3 - Prob. 9CQCh. 3 - Prob. 10CQCh. 3 - Prob. 11CQCh. 3 - Use a sketch to show that two vectors of unequal...Ch. 3 - Rain is falling vertically downward and you are...Ch. 3 - When sailing, the wind feels stronger when you...Ch. 3 - Suppose that each component ot a certain vector is...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - The press box at a baseball park is 44.5 ft above...Ch. 3 - You are driving up a long, inclined road. After...Ch. 3 - A One-Percent Grade A road that rises 1 ft for...Ch. 3 - You walk in a straight line tor 95 m at an angle...Ch. 3 - Find the x and y components of a position vector r...Ch. 3 - A vector has the components Az = 22 m and Ay = 13...Ch. 3 - A vector has the components Az = 36 m and Ay = 43...Ch. 3 - A baseball diamond (Figure 3-38) is a square with...Ch. 3 - A lighthouse that rises 49 ft above the surface of...Ch. 3 - H2O A water molecule is shown schematically in...Ch. 3 - Prob. 15PCECh. 3 - You drive a car 660 ft to the east, then 340 ft to...Ch. 3 - Vector A has a magnitude of 50 units and points in...Ch. 3 - A treasure map directs you to start at a palm tree...Ch. 3 - A whale comes to the surface to breathe and then...Ch. 3 - Consider the vectors A and B shown in Figure 3-42....Ch. 3 - Refer to Figure 3-42 for the following questions...Ch. 3 - A vector A has a magnitude of 40.0 m and points in...Ch. 3 - An air traffic controller observes two airplanes...Ch. 3 - The initial velocity of a car, vi, is 45 km/h in...Ch. 3 - Vector A points in the positive x direction and...Ch. 3 - Vector A points in the negative x direction and...Ch. 3 - Vector A points in the negative y direction and...Ch. 3 - A basketball player runs down the court, following...Ch. 3 - A particle undergoes a displacement r of magnitude...Ch. 3 - A vector has a magnitude of 3.50 m and points in a...Ch. 3 - A vector A has a length of 6.1 m and points in the...Ch. 3 - The vector 5 2 A has a magnitude of 34 m and...Ch. 3 - Find the direction and magnitude of the vectors....Ch. 3 - Find the direction and magnitude of the vectors....Ch. 3 - For the vectors given in Problem 34, express (a)...Ch. 3 - Express each of the vectors in Figure 3-44 in unit...Ch. 3 - Referring to the vectors in Figure 3-44, express...Ch. 3 - The blue curves shown in Figure 3-45 display the...Ch. 3 - What are the direction and magnitude of your total...Ch. 3 - Predict/Calculate Moving the Knight Two of the...Ch. 3 - To visit your favorite ice cream shop, you must...Ch. 3 - Referring to Problem 41, suppose you lake 44 s to...Ch. 3 - You drive a car 1500 ft to the east, then 2500 ft...Ch. 3 - Predict/Calculate A jogger runs with a speed of...Ch. 3 - You throw a ball upward with an initial speed of...Ch. 3 - Consider a skateboarder who starts from rest at...Ch. 3 - In a soccer game a midfielder kicks the ball from...Ch. 3 - The accompanying photo shows a KC-10A Extender...Ch. 3 - As an airplane taxied on the runway with a speed...Ch. 3 - Referring to part (a) of Example 3-11, find the...Ch. 3 - A police car travels at 38.0 m/s due east while in...Ch. 3 - Consider the river crossing problem in Example...Ch. 3 - As you hurry to catch your flight at the local...Ch. 3 - In Problem 53, how much lime would it take you to...Ch. 3 - Predict/Calculate The pilot of an airplane wishes...Ch. 3 - A passenger walks from one side of a ferry to the...Ch. 3 - You are riding on a Jet Ski at an angle of 35...Ch. 3 - Predict/Calculate In Problem 57, suppose the Jet...Ch. 3 - Predict/Calculate Two people take identical Jet...Ch. 3 - CE Predict/Explain Consider the vectors A=(1.2m)x...Ch. 3 - CE Predict/Explain Two vectors are defined as...Ch. 3 - To be compliant with regulations the inclination...Ch. 3 - Find the direction and magnitude of the vector...Ch. 3 - Prob. 64GPCh. 3 - Prob. 65GPCh. 3 - Prob. 66GPCh. 3 - You pilot an airplane with the intent to fly 392...Ch. 3 - Find the x, y, and z components of the vector A...Ch. 3 - Observer 1 rides in a car and drops a ball from...Ch. 3 - A person riding in a subway train drops a ball...Ch. 3 - A football is thrown horizontally with an initial...Ch. 3 - As a function of time, the velocity of the...Ch. 3 - Two airplanes taxi as they approach the terminal....Ch. 3 - A shopper at the supermarket follows the path...Ch. 3 - BIO A food particle from your breakfast takes a...Ch. 3 - Initially a particle is moving at 4.10 m/s at an...Ch. 3 - A passenger on a stopped bus notices that rain is...Ch. 3 - Predict/Calculate Suppose we orient the x axis of...Ch. 3 - Predict/Calculate The Longitude Problem In 1759,...Ch. 3 - Referring to Example 3-11, (a) what heading must...Ch. 3 - Vector A points in the negative x direction....Ch. 3 - As two boats approach the marina, the velocity of...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...
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- Is it possible for two vectors of different magnitudes to add to zero? Is it possible for three vectors of different magnitudes to add to zero? Explain.arrow_forwardWhat is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forwardA vector has zero magnitude. Is it necessary to specify its direction? Explain.arrow_forward
- Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?arrow_forwardCheck Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?arrow_forwardSuppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?arrow_forward
- The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.arrow_forwardGive a specific example of a vector, stating its magnitude, units, and direction.arrow_forwardIf two vectors are equal, what can you say about their components?arrow_forward
- Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through Equation 2.32 to show that and .arrow_forwardLei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.arrow_forwardIf A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.arrow_forward
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Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY