Question: ( i ) A vector field F is given by F = x 3 y i + 2 y 2 j + ( x +

(i) A vector field F is given by
F=x3yi+2y2j+(x+z2)k
Find:
a. Find grad(3F).
b. State 3F.
c. Find grad(3F).
d. Is 3(gradF) the same as grad(3F).
(ii) Show that the vector field
F=yexyi+xexyj+0k
is irrational.
( i ) A vector field F is given by F = x 3 y i +

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