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Author Question: Verify that the vector field F = (2xy2z2 - sin(x)sin(y)) i + (2x2yz2 + cos(x)cos(y)) j + (2x2y2z + ... (Read 78 times)

dejastew

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Question 1

Let  B be a constant vector and let G(r) = (B × r) × r  be a vector potential of the solenoidal vector field F. Find F.
F = B
F = 3(B × r)
F = r
F = (B × r)
F = r × B

Question 2

Verify that the vector field  F  =  (2xy2z2 - sin(x)sin(y)) i  +  (2x2yz2 + cos(x)cos(y)) j  +  (2x2y2z + ez) k  is conservative and find a scalar potential  f(x, y, z)  for it that satisfies  f(0, 0, 0) = 1.
◦ f(x, y, z)  =  x2y2z2 + cos2(x)sin2(y) + ez
◦ f(x, y, z)  =  x2y2z2 + cos(x)sin(y) + ez + 1
◦ f(x, y, z)  =  x2y2z2 + cos(x)sin(y) + ez
◦ f(x, y, z)  =  x2y2z2 + sin(x)cos(y) + ez + 1
◦ f(x, y, z)  =  xyz + cos(x)sin(y) + ez


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Marked as best answer by dejastew on May 27, 2021

popopong

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Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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dejastew

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Reply 2 on: May 27, 2021
Gracias!


gcook

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

 

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