10.4) question 19 61017. Pick any vectors u, Vand win R³ and show that ux (+) =üxV+üxw.In Exercises 19-22, the magnitudes of vectors and in R³are given, along with the angle between them. Use this in-formation to find the magnitude of ū × v.19. ||||=2, ||✔||=5, 0 = 30°20. || || = 3, ||ỹ || = 7, 0= */218. Pick any vectors ū, vand win R³ and show that u-(x) = 36. u(u × V).W.40. A bicycle rider applies 150lb of force, straight down, ontoa pedal that extends 7in from the crankshaft, making a 30°angle with the horizontal. Find the magnitude of the torqueapplied to the crankshaft.and41. To turn a stubborn bolt, 80lb of force is applied to a 10inwrench. What is the maximum amount of torque that canbe applied to the bolt?42. To turn a stubborn bolt, 80lb of force is applied to a 10in35. u37.38.39. Aontcrathewrenchplied fotorque43. Show, uv) = 0;ū and v.44. Show, usi0.

Answered: In Exercises 19-22, the magnitudes of…

In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between them. Use this in- formation to find the magnitude of ü x v. 19. || || = 2, ||||=5, 0= 30°

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 8AEXP

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Question

10.4) question 19

610
17. Pick any vectors u, Vand win R³ and show that ux (+) =
üxV+üxw.
In Exercises 19-22, the magnitudes of vectors and in R³
are given, along with the angle between them. Use this in-
formation to find the magnitude of ū × v.
19. ||||=2, ||✔||=5, 0 = 30°
20. || || = 3, ||ỹ || = 7, 0= */2
18. Pick any vectors ū, vand win R³ and show that u-(x) = 36. u
(u × V).W.
40. A bicycle rider applies 150lb of force, straight down, onto
a pedal that extends 7in from the crankshaft, making a 30°
angle with the horizontal. Find the magnitude of the torque
applied to the crankshaft.
and
41. To turn a stubborn bolt, 80lb of force is applied to a 10in
wrench. What is the maximum amount of torque that can
be applied to the bolt?
42. To turn a stubborn bolt, 80lb of force is applied to a 10in
35. u
37.
38.
39. A
ont
cra
the
wrench
plied fo
torque
43. Show, u
v) = 0;
ū and v.
44. Show, usi
0.

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