Geometric Vectors Homework: Get Corrected Answers

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The discussion centers on a request for corrections on geometric vector homework answers. The original poster has shared images of their work and is seeking feedback on accuracy. Participants inquire about the source of the homework, revealing it comes from a handout rather than a textbook. There is some confusion regarding the nature of the questions being asked, with others noting that the answers are already provided. The thread highlights a collaborative effort to ensure understanding of the homework material.
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Homework Statement


See images. . .
Can you please correct my answers if I get some of them wrong?

Homework Equations


There aren't really any relevant equations to solve the problems

The Attempt at a Solution


See images. . .
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Last edited:
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What book are you using? I like these question.
 
rocophysics said:
What book are you using? I like these question.

No textbook, it's a handout sheet from my teacher.
 
What question are you asking? You have all the answers to these problems.
 
HallsofIvy said:
What question are you asking? You have all the answers to these problems.

I'm asking whether or not I got these questions right. . .
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
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Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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