anonymous
  • anonymous
prove that gradient of vectorA dot with vector r equals to vectorA for any constant vectorA
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
www.mas.ncl.ac.uk/~nas13/mas2104/prob4.pdf just follow this !!
anonymous
  • anonymous
r(X,Y,Z) where X,Y,Z are functions of(x,y,z) A(a,b,c) A dot r = (aX + bY + cZ) grad(aX + bY + cZ) =(d(aX + bY + cZ)/dx,d(aX + bY + cZ)/dy,d(aX + bY + cZ)/dz) this is not necesarly equal A
anonymous
  • anonymous
if r is a position vector with coordinates r =(x,y,z) then yes.

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experimentX
  • experimentX
gradient gives the maximum rate of change along the direction of maximum change ... the gradient of a constant vector is zero

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