cylindrical coordinates to rectangular

Cartesian Cylindrical Spherical Cylindrical Coordinates x = r cosθ r = √x2 + y2 y = r sinθ tan θ = y x z = z z = z Spherical Coordinates x = ρsinφcosθ ρ = √x2 + 

We call (r, θ) the polar coordinate of P Suppose that P has Cartesian (stan The reserve formula from Cartesian coordinates to cylindrical coordinates

Examples of orthogonal coordinate systems include the Cartesian (or rectangular ), the cir cular cylindrical, the spherical, the elliptic cylindrical, the parabolic 

the cylindrical coordinates and the unit vectors of the rectangular coordinate system which are not themselves functions of position ˆ = = xˆ x + yˆ y = ˆ x cos + ˆ y 

rectangular (x, y, z), cylindrical (r,ϕ , z), and spherical ( ϕ θ,, r ) Unit vectors in rectangular, cylindrical, and spherical coordinates In rectangular coordinates a 

coordinates rather than Cartesian coordinates In polar coordinates we specify a point using the distance r from the origin and the angle θ with the x axis In polar  

Lecture 23 Cylindrical and Spherical Coordinates 231 Cylindrical coordinates If P is a point in 3 space with Cartesian coordinates (x, y, z) and (r, θ) are the 

the cylindrical coordinates and the unit vectors of the rectangular coordinate system which are not themselves functions of position ˆ = = xˆ x + yˆ y = ˆ x cos + ˆ y 

RECALL that to convert to rectangular x = y = Def A point P in 3 space can be represented in cylindrical coordinates by Ex 2 Plot the point P = (r, θ, z) = (3,