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November 01, 2025, 03:51:00 pm

Author Topic: Help with Holiday Homework  (Read 5043 times)  Share 

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zzdfa

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Re: Help with Holiday Homework
« Reply #30 on: December 22, 2009, 11:38:19 pm »
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polar form: z^2=18^(1/2)cis(-3PI/4)

thus z=18^(1/4)cis(-3pi/8)

and of course -3pi/8 is the same angle as 5pi/8.

was your answerb ''off'' by 2pi?

edit: fail mistake fixd
« Last Edit: December 22, 2009, 11:52:32 pm by zzdfa »

TrueTears

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Re: Help with Holiday Homework
« Reply #31 on: December 22, 2009, 11:43:35 pm »
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Let


















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darkphoenix

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Re: Help with Holiday Homework
« Reply #32 on: December 23, 2009, 12:48:49 am »
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Yeah i forgot to minus the 2pi. Thanks guys, the textbook was harder to understand.
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TrueTears

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Re: Help with Holiday Homework
« Reply #33 on: December 23, 2009, 12:49:55 am »
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Yeah i forgot to minus the 2pi. Thanks guys, the textbook was harder to understand.
Are you using Essentials? They sucked for Complex numbers.
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kyzoo

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Re: Help with Holiday Homework
« Reply #34 on: December 23, 2009, 01:02:56 am »
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Yeah i forgot to minus the 2pi. Thanks guys, the textbook was harder to understand.
Are you using Essentials? They sucked for Complex numbers.

What's with this "The derivation of this formula is left as an exercise for the reader." So annoying, they never had this in the Methods textbook =(
2009
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TrueTears

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Re: Help with Holiday Homework
« Reply #35 on: December 23, 2009, 01:11:30 am »
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Yeah i forgot to minus the 2pi. Thanks guys, the textbook was harder to understand.
Are you using Essentials? They sucked for Complex numbers.

What's with this "The derivation of this formula is left as an exercise for the reader." So annoying, they never had this in the Methods textbook =(
lol I see so much of that in the book I'm reading atm.
PhD @ MIT (Economics).

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darkphoenix

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Re: Help with Holiday Homework
« Reply #36 on: December 23, 2009, 02:19:02 pm »
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Nah our school is using the new edition of Maths quest, it sucks. :(

EDIT: One more question, this on vectors:

If a = 2i - 2j + k and b = -i + j - 4k, find a unit vector perpendicular to a and b.
« Last Edit: December 23, 2009, 06:34:05 pm by darkphoenix »
2009: Accounting
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Mao

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Re: Help with Holiday Homework
« Reply #37 on: December 23, 2009, 06:46:16 pm »
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let c = x i + y j + z k

c . a = 0
2x - 2y + z = 0 [1]

c . b = 0
-x + y - 4z = 0 [2]

(simultaneous equations) 2*[2] + [1]
-7z = 0
z = 0

substituting back into [2] (or [1], will yield the same result)
-x + y = 0
y = x

also, since c is a unit vector,
since z = 0, y = x, substituting yields


Hence or
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darkphoenix

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Re: Help with Holiday Homework
« Reply #38 on: December 23, 2009, 07:06:03 pm »
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thanks mao for the quick response.
2009: Accounting
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kakar0t

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Re: Help with Holiday Homework
« Reply #39 on: January 07, 2010, 09:25:33 pm »
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Can someone give me a hand with this question please? :D


kamil9876

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Re: Help with Holiday Homework
« Reply #40 on: January 07, 2010, 10:51:25 pm »
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a.)

because it is a square. Thus: (1)





b.)
« Last Edit: January 07, 2010, 10:53:08 pm by kamil9876 »
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

kakar0t

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Re: Help with Holiday Homework
« Reply #41 on: January 08, 2010, 01:53:52 pm »
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Thanks man!