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Grade: 12th pass

                        

are the units in the cylindrical and spherical coordinate system constant vectors?

one year ago

Answers : (2)

Arun
25141 Points
							
Any vector field can be written in terms of the unit vectors as: The spherical unit vectors are related to the cartesian unit vectors by: Note: the matrix is an orthogonal matrix, that is, its inverse is simply its transpose.
one year ago
Khimraj
3007 Points
							
No. Consider, just for example, the unit vectors in cylindrical coordinates: 𝜌̂ 𝜌̂ 𝐳̂ =cos𝜙𝐱̂ +sin𝜙𝐲̂ =−sin𝜙𝐱̂ +cos𝜙𝐲̂ =𝐳̂ . By inspection, you can see that they cannot be constant, because they depend on the variable 𝜙.
one year ago
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