Hi, I'm having trouble to understand the geometric interpretation of Q(v). What is v doing to the Parallelepiped?

Is it affecting the measure of the Parallelepiped?

Thanks

Attachment 28081

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- Apr 22nd 2013, 09:03 AMkezmanGeomteric Interpretation
Hi, I'm having trouble to understand the geometric interpretation of Q(v). What is v doing to the Parallelepiped?

Is it affecting the measure of the Parallelepiped?

Thanks

Attachment 28081 - Apr 22nd 2013, 07:57 PMchiroRe: Geomteric Interpretation
Hey kezman.

Can you explain in detail what Q and v are? (i.e. give a mathematical definition) - Apr 23rd 2013, 06:46 AMkezmanRe: Geomteric Interpretation
Its attached. I dont know if you can see the image.

- Apr 23rd 2013, 08:31 AMHallsofIvyRe: Geomteric Interpretation
That's gibberish as long as we don't know what v

_{i}and e_{i}are. I would guess that "e_{i}" are the unit vectors in the x, y, and z directions, but still don't know what "v_{i}" is. And what "parallelepiped" are you talking about. - Apr 23rd 2013, 09:59 AMkezmanRe: Geomteric Interpretation
v is any vector in E^3 as mentioned. v=(v1, v2 , v3)

I attach the explanation of parallelepiped im talking about.

Attachment 28107