Question

Find cylindrical co-ordinates of a point (3𝒊̅ + 4𝒋̅ + 𝒌̅) 

Answer 1

The point is (3,4,1)
`r =sqrt(x^2+y^2)`
`=sqrt(3^2+4^2)`
= 5
`θ = tan^-1(y/x)`
`= tan^-1(4/3)`
= 53.13^o

= 0.2952𝝅
z = z = 1

Point in cylindrical system is (5,0.2952𝝅,𝟏)