Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 1, Problem 43P
(a)
To determine
The vector expression for
(b)
To determine
The unit vector expression for a vector
(c)
To determine
The unit vector expression for a vector
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Vector A⃗ A→ has magnitude 3.0 mm and points to the right; vector B⃗ B→ has magnitude 4.0 mm and points vertically upward.
Find the magnitude of a vector C⃗ C→ such that A⃗ +B⃗ +C⃗ =0⃗ A→+B→+C→=0→.
Find the direction of a vector C⃗ C→ such that A⃗ +B⃗ +C⃗ =0⃗ A→+B→+C→=0→.
A vector→AA→has a magnitude of 44.0 m and points in a direction 20.0° below the positive x-axis. A second vector,→BB→, has a magnitude of 80.0 m and points in a direction 59.0° above the positive x-axis. Using the component method, find the magnitude of the vector→R=→A+→BR→=A→+B→.
The figure shows three vectors. Vector A→ has a length of 31.0, vector B→ has a length of 67.0, and vector C→ has a length of 22.0.
Find each magnitude and direction.
|A→×B→|= ?
direction: ?
|C→×B→|= ?
Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 1.2 - True or False: Dimensional analysis can give you...Ch. 1.3 - The distance between two cities is 100 mi. What is...Ch. 1.7 - Which of the following are vector quantities and...Ch. 1.8 - Prob. 1.4QQCh. 1.8 - Prob. 1.5QQCh. 1.9 - Choose the correct response to make the sentence...Ch. 1.9 - If at least one component of a vector is a...Ch. 1.9 - If A + B = 0, the corresponding components of the...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - The price of gasoline at a particular station is...
Ch. 1 - Rank the following five quantities in order from...Ch. 1 - What is the y component of the vector (3i8k) m/s?...Ch. 1 - Prob. 5OQCh. 1 - Prob. 6OQCh. 1 - One student uses a meterstick to measure the...Ch. 1 - Prob. 8OQCh. 1 - What is the x component of the vector shown in...Ch. 1 - What is the y component of the vector shown in...Ch. 1 - Prob. 11OQCh. 1 - Prob. 12OQCh. 1 - Figure OQ1.13 shows two vectors D1 and D2. Which...Ch. 1 - A vector points from the origin into the second...Ch. 1 - Prob. 15OQCh. 1 - Prob. 16OQCh. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - A book is moved once around the perimeter of a...Ch. 1 - Prob. 6CQCh. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Figure P1.6 shows a frustum of a cone. Match each...Ch. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10PCh. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Let AI represent the density of aluminum and Fe...Ch. 1 - Assume it takes 7.00 min to fill a 30.0-gal...Ch. 1 - Prob. 16PCh. 1 - Find the order of magnitude of the number of...Ch. 1 - Prob. 18PCh. 1 - To an order of magnitude, how many piano tuners...Ch. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Carry out the arithmetic operations (a) the sum of...Ch. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - A sidewalk is to be constructed around a swimming...Ch. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Two points in the xy plane have Cartesian...Ch. 1 - The polar coordinates of a point are r = 5.50 m...Ch. 1 - Prob. 32PCh. 1 - Prob. 33PCh. 1 - Prob. 35PCh. 1 - A plane flies from base camp to Lake A, 280 km...Ch. 1 - A roller-coaster car moves 200 ft horizontally and...Ch. 1 - Prob. 38PCh. 1 - Prob. 39PCh. 1 - Find the horizontal and vertical components of the...Ch. 1 - Prob. 41PCh. 1 - Vector B has x, y, and z components of 4.00, 6.00,...Ch. 1 - Prob. 43PCh. 1 - Three displacement vectors of a croquet ball are...Ch. 1 - Prob. 45PCh. 1 - Vector A has x and y components of 8.70 cm and...Ch. 1 - Prob. 47PCh. 1 - Use the component method to add the vectors A and...Ch. 1 - Prob. 49PCh. 1 - Consider the three displacement vectors A=(3i3j)m,...Ch. 1 - A person going for a walk follows the path shown...Ch. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Prob. 54PCh. 1 - Prob. 55PCh. 1 - The distance from the Sun to the nearest star is...Ch. 1 - Prob. 57PCh. 1 - Prob. 58PCh. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Prob. 63PCh. 1 - Prob. 64PCh. 1 - A child loves to watch as you fill a transparent...Ch. 1 - One cubic centimeter of water has a mass of 1.00 ...Ch. 1 - Prob. 67PCh. 1 - Prob. 68PCh. 1 - A pirate has buried his treasure on an island with...Ch. 1 - Prob. 70PCh. 1 - Prob. 71P
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.Similar questions
- X is an unknown vector satisfying the following relations involving the known vectors A and B and the scalar ϕ, A × X = B, A · X = ϕ. Express X in terms of A, B, ϕ, and the magnitude of A.arrow_forwardVector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forwardPerform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/arrow_forward
- At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?arrow_forwardShow that (2arr+2brr)dt=ar2+br2+const. where r is the vector from the origin to the point (x1, x2, x3). The quantities r and r are the magnitudes of the vectors r and r, respectively, and a and b are constants.arrow_forwardA vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forward
- Find the angles that vector makes with the and axes.arrow_forwardRectangular coordinates of a point are given by (2,y) and its polar coordinates are given by (r,/6) . Find y y and r .arrow_forwardFor the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)arrow_forward
- For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?arrow_forwardWhat surface is represented by r a = const, that is described if a is a vector of constant magnitude and direction from the origin and r is the position vector to the point P(x1, x2, x3) on the surface?arrow_forwardA pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Gas density and PV=nRT, the ideal gas law; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=RFF1MIQDdds;License: Standard YouTube License, CC-BY
Weight, Force, Mass & Gravity | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=U78NOo-oxOY;License: Standard Youtube License