Question #223883

Show that the vector →{v}=(yz-1)i-z(1+x+z)j+y(1+x+2z)k isconservative and find it scalar potential function?

Expert's answer

Given:

"{\\bf v}=(yz-1){\\bf i}+z(1+x+z){\\bf j}+y(1+x+2z){\\bf k}"

For the conservative vector field

We have

Therefore, the given vector field is conservative.

We can put

where

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