Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Question
Chapter 10.3, Problem 1PT
To determine
To identify: The correct option for the blank in the statement, “The polar coordinates for the point P in the given diagram at the right are _____”.
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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 10 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 10.1 - The graph of x = 2 + 3t, y = 4 t is a: a) circle...Ch. 10.1 - The graph of x = cos t, y = sin2 t is:Ch. 10.1 - Prob. 3PTCh. 10.2 - Prob. 1PTCh. 10.2 - Prob. 2PTCh. 10.2 - The slope of the tangent line at the point where...Ch. 10.2 - Prob. 4PTCh. 10.2 - Prob. 5PTCh. 10.2 - Prob. 6PTCh. 10.3 - Prob. 1PT
Ch. 10.3 - Prob. 2PTCh. 10.3 - Prob. 3PTCh. 10.3 - Prob. 4PTCh. 10.3 - Prob. 5PTCh. 10.3 - Prob. 6PTCh. 10.4 - Prob. 1PTCh. 10.4 - Prob. 2PTCh. 10.4 - Prob. 3PTCh. 10.5 - Prob. 1PTCh. 10.5 - Prob. 2PTCh. 10.5 - Prob. 3PTCh. 10.6 - The figure at the right shows one point P on a...Ch. 10.6 - Prob. 2PTCh. 10.6 - Prob. 3PTCh. 10.6 - Prob. 4PT
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