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Vector equation...

 
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Apr30-07, 08:04 PM   #1
 

Vector equation...


If I have z= ||v||u + ||u||v, can I say that (z/uv) = (||v||/v) + (||u||/u) ? I'm not sure if I can divide vectors that way...
 
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Apr30-07, 08:43 PM   #2
 
It's meaningless to divide something by a vector. In general, that operation is not defined. What you could do in this case, though, is divide by the norms of the vectors instead. That yields some useful information:

[tex]\frac{z}{||u||||v||}=\frac{u}{||u||}+\frac{v}{||v||}[/tex]
 
Apr30-07, 08:48 PM   #3
 
Quote by Moo Of Doom View Post
It's meaningless to divide something by a vector. In general, that operation is not defined. What you could do in this case, though, is divide by the norms of the vectors instead. That yields some useful information:

[tex]\frac{z}{||u||||v||}=\frac{u}{||u||}+\frac{v}{||v||}[/tex]
Haha, I just wrote something similar in my notebook but it didn't register with me. Thank you
 
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