What will happen when all the variables that is r, θ and φ of Spherical Coordinate System are constants? - The Right Gate

# What will happen when all the variables that is r, θ and φ of Spherical Coordinate System are constants?

What will happen when all the variables that is r, θ and φ of Spherical Coordinate System are constants?

If all the variables of spherical coordinate system are constants that means r = certain value ; θ = certain value and φ = certain value then we get an intersection of all three planes which will be the unique point in the space which will also called as Spherical Coordinates of that point.

Consider an example. Assume that a point in space is P (5, $60^0$, $30^0$). i.e. r=5; φ=$60^0$ and θ=$30^0$.

In simple words, this point P is sitting on a sphere having radius 5. And, it is present on the plane, called as vertical half plane making an angle of $60^0$ with the +X axis. In addition, it on curved conical surface making angle $30^0$ with +Z axis.

And the common intersection of all these planes, is our point P, uniquely located in the space called as Spherical Coordinates of point P.

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