What is the magnitude and angle of this complex number?

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The discussion focuses on determining the magnitude and angle of a complex number expressed in terms of variables a and b. Participants express a need for assistance in converting the complex number to the form x + iy. There is a consensus that while users may not provide a final expression directly, they are willing to help guide others toward finding it. A resource link is shared to aid in understanding complex number conversions. Overall, the thread emphasizes collaborative problem-solving in mathematics.
hanhao
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what is the magnitude and angle of this complex number? in terms of a and b?
http://img364.imageshack.us/img364/4262/1af2.jpg
come i need some help
 
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Do you know how to convert it to the form x+iy?
 
neutrino said:
Do you know how to convert it to the form x+iy?
no, that's way beyond my scope
all i need is the final expression
 
I don't think you´ll find anyone here giving you the final expression.

You might find people willing to help you find the final expression.
 
You should find this useful: http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut12_complexnum.htm" .
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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