Determine the potentail `varphi(x,y,z)` of an electrostatic field `E = ayl + (ax + bz) J + byk`, where `a` and `b` are constants, `I, j, k `are the unit vectors of the axes `x,y,z`.

Explanation

Given, again
`-d varphi = vec(E) . vec(dr) = (ay vec(i) + (ax + bz) vec(j) + by vec(k)). (dx vec(i) + dy vec(j) + dx vec(k))`
`= a(y dx + ax dy) + b(z by + y dz) = ad (xy) + bd(yz)`
On intergating
`varphi = -(a xy + b yz) + C`