Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
expand_more
expand_more
format_list_bulleted
Question
Chapter 6.5, Problem 6.15P
To determine
Show equation 6.34
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider two vectors à = (1, – 3,0) and B = (0 ,0,7). Let C be their cross product: Č = à ×
В.
a) Calculate the Cartesian components of C.
b) What is the angle between vectors B and C?
Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start
at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move
A.
are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is
the magnitude dnet of your final displacement from the origin?
(a) A = 3.01, B = 6.0
(b) A =
- 4.01, B = 3.0k
-
(c) A = 2.0₁, B = 4.0k
(d) A = 3.0₁, B
- 8.0
(e) A = 4.0K, B = - 2.01
(f) A = 2.01, B
- 4.01
Situation 3. For the points O, A, and B: (a) what is the cross product řoa x řOB: (b) determine a unit vector that is perpendicular
to roa and foB; and (c) use the cross product to determine the length of the shortest line from point B to the straight line that
passes through points O and A.
B (4, 4, –4) m
FOB
"OA
А (6, -2, 3) m
Chapter 6 Solutions
Introduction To Quantum Mechanics
Ch. 6.1 - Prob. 6.1PCh. 6.2 - Prob. 6.2PCh. 6.2 - Prob. 6.3PCh. 6.2 - Prob. 6.4PCh. 6.2 - Prob. 6.5PCh. 6.2 - Prob. 6.7PCh. 6.4 - Prob. 6.8PCh. 6.4 - Prob. 6.9PCh. 6.4 - Prob. 6.10PCh. 6.4 - Prob. 6.11P
Ch. 6.4 - Prob. 6.12PCh. 6.4 - Prob. 6.13PCh. 6.5 - Prob. 6.14PCh. 6.5 - Prob. 6.15PCh. 6.5 - Prob. 6.16PCh. 6.5 - Prob. 6.17PCh. 6.6 - Prob. 6.18PCh. 6.6 - Prob. 6.19PCh. 6.7 - Prob. 6.20PCh. 6.7 - Prob. 6.21PCh. 6.7 - Prob. 6.22PCh. 6.7 - Prob. 6.23PCh. 6.7 - Prob. 6.25PCh. 6.8 - Prob. 6.26PCh. 6.8 - Prob. 6.27PCh. 6.8 - Prob. 6.28PCh. 6.8 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37P
Knowledge Booster
Similar questions
- Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is the magnitude dnet of your final displacement from the origin? (a) A = 3.0î, B = 6.0ĵ → (b) A = - 4.01, B = 3.0k (c) A = 2.0₁, B = 4.0k (d) A = 3.0), B = - 8.01 (e) A = 4.0K, B = - 2.0î (f) A = 2.01, B = - 4.0j f Xarrow_forwardJungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is the magnitude dnet of your final displacement from the origin? (a) A = 3.01, B = 6.0 (b) A = -4.01, B = 3.0k (c) A = 2.0j, B = 4.0k (d) A = 3.0₁, B = - 8.0 (e) A = 4.0k, B = -2.01 (f) A 2.01, B = - 4.0j = Number i 13.4 Units marrow_forwardSeatwork: Given points P (2,5. -1). Q (-1, -4,1). T (5.0.2). find the unit vectors a. the unit vectors Rra. Rar. and R b. the length of the perimeter of the triangle PQT c. the vector projection of Rra on Rarrow_forward
- Problem 1: For the vectors E = 2â – 4 ý+32. F = 38-j+52 then: 1. Find the tangential component E, of É (the component of E along F ). And also find the normal component É, of Ë that is normal on F. 2. Determine a unit vector perpendicular to both E and F. 3. The angle between the two vectors.arrow_forwardWhat angles does the I vector make with the z axis when 1 = 2?arrow_forwardEx. 3: A light thin uniform rod of 0.8 m length has two masses each of 16 gm stuck at its ends. Treating the masses neglecting the M.I. of the rod itself. Find the M.I. of the system about transverse axis through one end. as point masses andarrow_forward
- Two vectors A and B are shown in the figure. The magnitude of their dot product is C, and the magnitude of their cross product is 1.094 C. Find cos(0). B A.arrow_forwardHow is it that I can have b=x in problem 7.48?arrow_forwardgiven the position vectors r=(3,2,1) and r=(2,4,3), (a) Find a unit vector parallel to the resultant of the vectors, r1 and r2 (b) Find the angle between the vectors, r1 and r2, using the first the scalar product and thenm confirm your result with the cross productarrow_forward
- The cross product AxB is perpendicular to both vectors in the cross product (think of Aand В as lying on a sheet of paper; the cross product is perpendicular to the plane of the sheet). After figuring out the two directions perpendicular to both vectors you use one of the right hand rules given on Page 338 to choose which of the two direction is correct. All three should give the same result so use whichever one you are most comfortable with. In class, we will use the middle one in the diagram in the book. The vector torque is where "is the vector from the axis of rotation to where the force is applied. Which is the direction of the torque vector? +y ++ * (in) +z (out) O = in (O) = outarrow_forwardAnswer D!!! like I asked before. This is my second request. All of you keep doing the same thing. I need a D! A, B, C, have been answered in a previous submition. Given the pair of vectors, A = ( 8.00î – 5.00ĵ and B = (-3.00î + 9.00j) use the definition of a scalar product to determine (a) the scalar product (b) the angle between the vectors (Enter an answer between 0 and 180 degrees.) (c) the angle a between the vector A and the +x axis (Enter an answer between 0 and 180 degrees.) (d) the angle ß between the vector B and the +y axis (Enter an answer between 0 and 180 degrees.) Please answer all four questions. Every example I have seen does not answer (d). Please answer (a), (b), (c) and (d) <- I keep getting (d) wrong.arrow_forwardCompute for the total moment of pt. A and pt. B Ps. with complete solution without any shortcuts, pleasearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning