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1- Show that V = yz î+xzŷ+xy ê can be written as the curl of a vector v. Determine i for which V.i = 0.

1- Show that V = yz î+xzŷ+xy ê can be written as the curl of a vector v. Determine i for which V.i = 0.

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1- Show that V = yz î+xzŷ+xy ê can be written as the curl of a vector v. Determine i for which V.i = 0.
Transcribed Image Text:1- Show that V = yz î+xzŷ+xy ê can be written as the curl of a vector v. Determine i for which V.i = 0.
Expert Solution
Step 1
Divergence of a curl is zero. Find the curl of the given vector v.v - °(yz) ¸ ©(xz) ¸ ô(xy) ôx Oz = 0+0+0 | Thus, the given vector can be written as curl of another vector.
Step 2
Write the curl of the vector v Axi = âx ây ôz Əv, ôv, +z ôx ây
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