SOLUTION: What is the curl of U = (xyz)i + (xy^2)j + (yz)k?

Question 1172377: What is the curl of U = (xyz)i + (xy^2)j + (yz)k?
Answer by ikleyn(53763) (Show Source): You can put this solution on YOUR website!
.

This question relates to Multivariable Calculus.

So, take your textbook and find the definition of the curl in Math.

If you do not have a textbook on your table / shelves, then learn the subject from this Wikipedia article

https://en.wikipedia.org/wiki/Curl_(mathematics)#:~:text=In%20vector%20calculus%2C%20the%20curl,in%20three%2Ddimensional%20Euclidean%20space.&text=A%20vector%20field%20whose%20curl,of%20differentiation%20for%20vector%20fields.

All you need is the definition of the curl as the determinant, which includes the unit coordinate vectors i, j and k,
symbols of partial differentiating along the coordinate axes, and the components of the given vector field.

You will find everything in the section "Usage" of the Wikipedia article mentioned above.

As soon as you adopt this knowledge, you will be able to complete the assignment on your own.

It is just a technique - there is nothing supernatural in it.

If you will make several mistakes on the way - it is not bad --- it is the normal way how people learn/assimilate/adopt new knowledge.

I wish you to get a progress on your endeavor.

Stay healthy and be happy (!)

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