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January 28th, 2012, 10:43 AM  #1 
Senior Member Joined: Sep 2011 From: New York, NY Posts: 333 Thanks: 0  Vector \ Three dimensional Space Question
let be a fixed vector. Describe the set of all vectors such that This is from the vector section in our book. I can not get very far with this question. We just covered threedimensional space, so I think they mean vectors in threedimensions. Any Ideas? 
January 28th, 2012, 11:34 AM  #2 
Member Joined: Aug 2010 Posts: 49 Thanks: 0  Re: Vector \ Three dimensional Space Question
Hi, if you are talking about 3D it is describing a sphere of radius 1. Best regards, Jens PS: With the center of the sphere in 
January 28th, 2012, 11:53 AM  #3 
Senior Member Joined: Dec 2011 From: Argentina Posts: 216 Thanks: 0  Re: Vector \ Three dimensional Space Question
The set is that of all vectors such that the vector has modulus 1. Clearly you'll have a set of equidistant points in space with the same origin which will vary the direction when choosing an appropiate , but as all vectors will have the same length, they'll describe a sphere with radius 1 and center at 

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