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Conversion of cartesian coordinates to cylinderical polar coordinates?

Q1.Consider the vector in cartesian coordinates as V(x,y,z)=4i-3j+7k.Express this vector in the unnormalized basis vectors of the cylinderical polar coordinates at the following tweo points, a)(p,Φ,z)=(4,pi/4,-5) b)(p,Φ,z)=(8,pi/4,-5)

question from:https://stackoverflow.com/questions/65904564/conversion-of-cartesian-coordinates-to-cylinderical-polar-coordinates

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