Multi-part question involving a vector field

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Homework Help Overview

The discussion revolves around a multi-part question involving a vector field defined by the equation \(\vec G=24xy\hat a_x+12(x^2+2)\hat a_y+18z^2\hat a_z\). Participants are exploring various aspects of vector fields, including calculations at specific points and the concept of unit vectors.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants attempt to calculate the vector field at points \(P\) and \(Q\) and discuss the process of finding unit vectors. There are questions about the relationship between inputting coordinates into the vector field equation and constructing vectors from those points.

Discussion Status

Some participants have provided calculations and corrections, while others are questioning their understanding of vector fields and the specific requirements of the problem. There is an ongoing exploration of the differences between calculating vector field values and creating displacement vectors.

Contextual Notes

Participants express confusion regarding the arithmetic involved and the conceptual understanding of vector fields versus displacement vectors. There are references to the complexity of the problem and the potential distractions from the arithmetic involved.

  • #31
CaliforniaRoll88 said:
Is that compatible with windows?
I don’t think so.
 
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  • #32
CaliforniaRoll88 said:
Part d)
##\vec G=24xy\hat a_x+12(x^2+2)\hat a_y+18z^2\hat a_z##
##60^2=(24xy)^2+[12(x^2+2)]^2+(18z^2)^2##
##60^2=24^2x^2y^2+[12x^2+24]^2+18^2z^4##
##60^2=24^2x^2y^2+12^2x^4+2(12x^2)(24)+24^2+18^2z^4##
##60^2=24^2x^2y^2+12^2x^4+24^2x^2+24^2+18^2z^4##
##60^2=6^2[4^2x^2y^2+2^2x^4+4^2x^2+4^2+3^2z^4]##
##100=4x^4+16x^2+16x^2y^2+9z^4+16##
Here is the surface above. It's a bit different from mine but, like I said, I'm learning how to do this.

 
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  • #33
That's awesome. I have my own surface XD. Thank you.
 
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