Explanation Given imfo: The vector A → has components in x and y direction. Formula to calculate the possible directions of vector A → is, θ = tan − 1 ( A y A x ) (1) Here, θ is the direction of vector A → . A x is the component of vector A → in x direction. A y is the component of vector A → in y direction. Consider the vector diagram for the given vector components in first quadrant. Figure (1) The value of component of vector A → in x direction for the above vector diagram is, A x = a The value of component of vector A → in y direction for the above vector diagram is, A y = a Substitute a for A x and a for A y in equation (1). θ = tan − 1 ( ( + a ) ( + a ) ) = tan − 1 ( 1 ) = 45 ° Thus, the possible direction of vector A → for the above vector diagram is 45 ° counterclockwise from the x-axis. Consider the vector diagram for the given vector components in second quadrant. Figure (2) The value of component of vector A → in x direction for the above vector diagram is, A x = − a The value of component of vector A → in y direction for the above vector diagram is, A y = a Substitute ( − a ) for A x and a for A y in equation (1). θ = tan − 1 ( ( + a ) ( − a ) ) = − 45 ° = 180 ° + ( − 45 ° ) = 135 ° Thus, the possible direction of vector A → for the above vector diagram is 135 ° counterclockwise from the x-axis

Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)

5th Edition

ISBN: 9780136781356

Author: Walker, JAMES

Publisher: PEARSON

See similar textbooks

Concept explainers

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.

Question

Chapter 3, Problem 10CQ

To determine

The possible directions of vector A→ .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3, Problem 9CQ

Chapter 3, Problem 11CQ

Students have asked these similar questions

pls help

No chatgpt pls will upvote Already got wrong chatgpt answer

PART III - RESISTORS IN PARALLEL Consider (but do not yet build) the circuit shown in the circuit diagram to the left, which we will call Circuit 3. Make sure you are using Bert bulbs. You may want to wire two batteries in series rather than use a single battery. 7. Predict: a) How will the brightness of bulb B3A compare to the brightness to bulb B3B? c) X E B3A b) How will the brightness of bulb BзA compare to the brightness of bulb B₁ from Circuit 1? How will the currents at points X, Y, and Z be related? www d) How will the current at point X in this circuit compare to the current at point X from Circuit 1? Y Z B3B www

Chapter 3 Solutions

Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)

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. 5CQ Ch. 3 - Can a vector with zero magnitude heve one or more...Ch. 3 - Prob. 7CQ Ch. 3 - Prob. 8CQ Ch. 3 - Prob. 9CQ Ch. 3 - Prob. 10CQ Ch. 3 - Prob. 11CQ Ch. 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. 15PCE Ch. 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. 64GP Ch. 3 - Prob. 65GP Ch. 3 - Prob. 66GP Ch. 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,...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The possible directions of vector A → .

Solution Summary: The author explains the possible directions of the vector stackreltoA.

Concept explainers

The possible directions of vector A→ .

Want to see the full answer?

Chapter 3 Solutions