
Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 15.4, Problem 1PT
To determine
The appropriate option for the statement “The mass of the lamina at the right, which has a density of
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u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (ū+v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u. (vxw)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Question 3 (6 points)
u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (u + v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅ w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u (v × w)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Chapter 15 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 15.1 - Prob. 1PTCh. 15.1 - Prob. 2PTCh. 15.1 - Let R={(x,y)|3x5,2y4}andf(x,y)=y2x2.For every...Ch. 15.1 - Sometimes, Always, or Never: Rf(x,y)dA is the...Ch. 15.1 - Prob. 5PTCh. 15.1 - Prob. 6PTCh. 15.1 - Prob. 7PTCh. 15.1 - Prob. 8PTCh. 15.2 - Prob. 1PTCh. 15.2 - Prob. 2PT
Ch. 15.2 - Prob. 3PTCh. 15.2 - Prob. 4PTCh. 15.3 - Prob. 1PTCh. 15.3 - Prob. 2PTCh. 15.4 - Prob. 1PTCh. 15.4 - Prob. 2PTCh. 15.4 - Prob. 3PTCh. 15.4 - True or False: For f(x, y) = x2(x + y), x and y...Ch. 15.5 - Prob. 1PTCh. 15.6 - Prob. 1PTCh. 15.6 - Prob. 2PTCh. 15.6 - EzdV, where E is the wedge-shaped solid shown at...Ch. 15.6 - Prob. 4PTCh. 15.7 - Prob. 1PTCh. 15.7 - Prob. 2PTCh. 15.7 - Prob. 3PTCh. 15.7 - Prob. 4PTCh. 15.8 - Prob. 1PTCh. 15.8 - Prob. 2PTCh. 15.8 - Prob. 3PTCh. 15.8 - Prob. 4PTCh. 15.9 - Find the Jacobian for x = u2v2, y = u2 + v2. a)...Ch. 15.9 - Find the iterated integral for RdA, where R is the...
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