Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
Related questions
Question
10.4) question 35
![=
R³
in-
34. =(-1,2,1), V= (2,2,1), W=(3,1,3)
In Exercises 35-38, find a unit vector orthogonal to both u
and V.
35. = (1, 1, 1), ✔= (2,0,1)
36. = (1, -2,1), V= (3,2,1)
37. ū=(5,0, 2), ✔= (-3,0,7)
38. u = (1, -2, 1), = (-2,4,-2)
39. A bicycle rider applies 150lb of force, straight down,
onto a pedal that extends 7in horizontally from the
crankshaft. Find the magnitude of the torque applied to
the crankshaft.
I
n, onto
ng a 30°
e torque
to a 10in
e that can
to a 10in
wrench in a confined space, where the direction of ap-
plied force makes a 10° angle with the wrench. How much
torque is subsequently applied to the wrench?
43. Show, using the definition of the Cross Product, that ü. (ū x
V) = 0; that is, that u is orthogonal to the cross product of
ū and V.
44. Show, using the definition of the Cross Product, that uxū=
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F400b9bd7-cb38-477d-bca9-0a4702f014e3%2F0341bd28-28cb-4e0d-aabf-3dbe0d8d4448%2Fy1z1glq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:=
R³
in-
34. =(-1,2,1), V= (2,2,1), W=(3,1,3)
In Exercises 35-38, find a unit vector orthogonal to both u
and V.
35. = (1, 1, 1), ✔= (2,0,1)
36. = (1, -2,1), V= (3,2,1)
37. ū=(5,0, 2), ✔= (-3,0,7)
38. u = (1, -2, 1), = (-2,4,-2)
39. A bicycle rider applies 150lb of force, straight down,
onto a pedal that extends 7in horizontally from the
crankshaft. Find the magnitude of the torque applied to
the crankshaft.
I
n, onto
ng a 30°
e torque
to a 10in
e that can
to a 10in
wrench in a confined space, where the direction of ap-
plied force makes a 10° angle with the wrench. How much
torque is subsequently applied to the wrench?
43. Show, using the definition of the Cross Product, that ü. (ū x
V) = 0; that is, that u is orthogonal to the cross product of
ū and V.
44. Show, using the definition of the Cross Product, that uxū=
0
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