Let v₁,..., Vk be vectors, and suppose that a point mass of m₁, ..., mk is located at the tip of each vector. The center of mass for this set of point masses is equal to V=Mv++mkvk m where m = m₁ + + mk. Determine how to divide a total mass of 11 kg among the vectors u₁ = (-1, 3), u2 = (3, -2), and u3 = (5, 2) so that the center of mass is (33/11, 4/11). m₁ = 4 m2 = 5 m3 = 2 eBook X

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let v₁, ..., vk be vectors, and suppose that a point mass of m₁, .
+ mkVk
V =
where m = m₁ +
5
+
m2 =
m3 = 2
eBook
...
***
m
+ mk.
Determine how to divide a total mass of 11 kg among the vectors u₁ = (-1, 3), u₂ = (3, -2), and u3 = (5, 2) so that the center of mass is (33/11, 4/11).
m1 = 4
X
mk is located at the tip of each vector. The center of mass for this set of point masses is equal to
X
Transcribed Image Text:Let v₁, ..., vk be vectors, and suppose that a point mass of m₁, . + mkVk V = where m = m₁ + 5 + m2 = m3 = 2 eBook ... *** m + mk. Determine how to divide a total mass of 11 kg among the vectors u₁ = (-1, 3), u₂ = (3, -2), and u3 = (5, 2) so that the center of mass is (33/11, 4/11). m1 = 4 X mk is located at the tip of each vector. The center of mass for this set of point masses is equal to X
An electronics company has two production facilities, denoted A and B. During an average week, facility A produces 2000 computer monitors and 10,000 flat panel televisions,
and facility B produces 4000 computer monitors and 18,000 flat panel televisions.
(a) Give vectors a and b that give the weekly production amounts at A and B, respectively.
a =
2000
10000
(b) Compute 6b.
eBook
24000
108000
b =
4000
Describe what the entries tell us.
18000
The company produces 24000
5
3
computer monitors
flat panel televisions
computer monitors and 108000
(c) Determine the combined output from A and B over a 5-week period.
computer monitors 30000
flat panel televisions
140000
flat panel televisions at facility B in 6
(d) Determine the number of weeks of production from A and B required to produce 32,000 monitors and 152,000 televisions.
facility A
X weeks
facility B
X weeks
weeks.
Transcribed Image Text:An electronics company has two production facilities, denoted A and B. During an average week, facility A produces 2000 computer monitors and 10,000 flat panel televisions, and facility B produces 4000 computer monitors and 18,000 flat panel televisions. (a) Give vectors a and b that give the weekly production amounts at A and B, respectively. a = 2000 10000 (b) Compute 6b. eBook 24000 108000 b = 4000 Describe what the entries tell us. 18000 The company produces 24000 5 3 computer monitors flat panel televisions computer monitors and 108000 (c) Determine the combined output from A and B over a 5-week period. computer monitors 30000 flat panel televisions 140000 flat panel televisions at facility B in 6 (d) Determine the number of weeks of production from A and B required to produce 32,000 monitors and 152,000 televisions. facility A X weeks facility B X weeks weeks.
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