1. Let F be a vector in Cartesian coordinate system (x, y, z). Determine the divergence of a curl of this vector F.

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1. Let F be a vector in Cartesian coordinate system (x, y, z). Determine the divergence of a curl of
this vector F.
2. Given vector:
p= r² cos0 î + p² coso Ô + r² cos0 sino o
Find V. p
3. If U and V are displacement vectors,
U = 4â + 2ý + 2,
V = 2â + 4ỹ +2£
(a) Find the unit vectors of each of the vectors
(b) Find Û + V.
4. Find the electric field at a distance k above the midpoint of a straight line segment of length 8L,
which carries a uniform line charge of A.
Transcribed Image Text:1. Let F be a vector in Cartesian coordinate system (x, y, z). Determine the divergence of a curl of this vector F. 2. Given vector: p= r² cos0 î + p² coso Ô + r² cos0 sino o Find V. p 3. If U and V are displacement vectors, U = 4â + 2ý + 2, V = 2â + 4ỹ +2£ (a) Find the unit vectors of each of the vectors (b) Find Û + V. 4. Find the electric field at a distance k above the midpoint of a straight line segment of length 8L, which carries a uniform line charge of A.
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