Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 6, Problem 39P
(a)
To determine
The dot product of given vectors.
(b)
To determine
The scalar product of given vectors.
(c)
To determine
The scalar product of given vectors.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two vectors are given by ?→=10?̂ +1.4?̂�→=10�̂+1.4�̂ and ?→=1.7?̂ +2.0?̂�→=1.7�̂+2.0�̂. Find (a)|||?→×?→||||�→×�→|, (b)?→⋅?→�→⋅�→, (c)(?→+?→)⋅?→(�→+�→)⋅�→, and (d) the component of ?→�→ along the direction of ?→�→?
What is the angle between vectors
A - 2i + 3j + k and B- 3i • 2j + K?
O 21.79
O 42.88°
85.90°
O 62.34
LL
Axax = B x ax; (d) A C = BC and Ax C = B x C where C is any
vector except C = 0.
29
ax
Express the unit vector a, in spherical components at the point: (a) r = 2,
0 = 1 rad, p = 0.8 rad; (b) x = 3, y = 2, z = -1; (c) p = 2.5, p = 0.7 rad,
z = 1.5.
1.30 Consider a problem analogous to the varying wind velocities encountered by
Chapter 6 Solutions
Physics for Scientists and Engineers
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Prob. 62PCh. 6 - Prob. 63PCh. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Prob. 69PCh. 6 - Prob. 70PCh. 6 - Prob. 71PCh. 6 - Prob. 72PCh. 6 - Prob. 73PCh. 6 - Prob. 74P
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
- Obtain expressions in component from for the position vectors having the polar coordinates (a) 12.8 m, 150; (b) 3.30 cm, 60.0; and (c) 22.0 in., 215.arrow_forwardThree vectors →A , →B, and →C have the following x and y components: x-component y-component →A -9.00 6.00 →B 8.00 -6.50 →C 0.00 5.50 What is the magnitude of R→=A→−B→−C→ ?arrow_forwardThree vectors are given by a→=4.00î + (3.00)ĵ +(4.00)ka→, b→=0î +(-3.00)ĵ +(-4.00)k and c→=-3.00î +(1.00)ĵ +(4.00)k Find (a) a → (b→x c→) (b) a→·(b→+c→) (c) x- component, (d) y-component, and (e) z- component of a→x(b→+c→) respectively.arrow_forward
- Write an expression for a unit vector at 45∘ clockwise from the x-axis. Express your answer in terms of the unit vectors i^ and j^.arrow_forwardThe figure shows four vectors A, B, C and D having magnitudes 12.0 m, 10.0 m, 8.0 m, and 4.0 m, respectively. The sum of these four vectors is y B 30° + 30° X D 1076 2 48432 W S mand X M O a. 16.4 m at an angle 77.8° with respect to +X-axis. Ob. 16.4 m at an angle 12.3° with respect to +X-axis. c. 19.5 m at an angle 77.8° with respect to +X-axis O d. 19.5 m at an angle 12.30 with respect to +X-axis. O e. 8.20 m at an angle 77.8° with respect to +x-axis. F2 s # 3 E D 31, C M 80 $ 4 R F a FA % 5 V #tv ♫ T o FS G 6 B c Fo Y H & 7 N F7 p U 8 J DII FB 1 M ( 9 K F9 O A ) O 4 F10 L e e P il V F11 { 11 + [ C F12 command option Oarrow_forward→ Let 2 vectors à anb b a in the plane of modules. 12=5 ²161 = 5 e 161=5 How much is the magnitude of their vectors d=a-b knowing that the angle between the two vectors is to 60°?arrow_forward
- Consider the two vectors A-51-3j and B=-i-6j. (a) Calculate A + B i+ (b) Calculate A-B i+ (c) Calculate A + B (d) Calculate (e) Calculate the directions of A + B and A-B. A+B A-B (counterclockwise from the +x axis) (counterclockwise from thearrow_forward1. Given vectors A = ax + 3az and B = 5ax + 2ay - 6az, Determine: (a) A + B (b) 5A - B (c)The component of A along ay (d) A unit vector parallel to 3A + B 2. Given points P(1.-3,5), Q(2,4,6), and R(0,3,8), find: (a) The position vectors of P and R (b) The distance vector FOR (c) The distance between Q and Rarrow_forwardIf vector A = 2 i+2j° and vector B = 6 i +8j^, then 8 A+2 B = O a. 28 i - 32 j O b. 28 i +0 j O c. 28 i +32 j O d. 4 i +32 j Scalar or dot product of vectors 9 i+ 6 j+ -4 k and 1 i+3j+0k is: Answer:arrow_forward
- (the complete question is in the picture) The vector in the figure has a magnitudeof 40.0 [m] and makes an angle of 15.0◦ with respect tothe y-axis. What is the component form of vector−→k ?A. 10.4 [m] ˆı − 38.6 [m] ˆB. 10.4 [m] ˆı + 38.6 [m] ˆC. −10.4 [m] ˆı − 38.6 [m] ˆD. −10.4 [m] ˆı + 38.6 [m] ˆarrow_forwardTwo vectors are given by A = 3i– 23 + 4k and B = 6} – 2k. Ignoring units, calculate Ả× B.arrow_forwardFind a vector n that is orthogonal to each of the vectors v = (2,0, –1) and w = (1,2, 1). Select one: O a. None of these O b. n = (2,3, 4) O c.n = (2,3, –4) O d. n = (2, –3, 4) O e. n = (-2,3, 4)arrow_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
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher: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
Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY