# contravariant components and spherical component of acceleration

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Tags: acceleration, component, components, contravariant, spherical
 P: 8 Hello i know how to derive the components of acceleration in other coordinates like spherical start here : and at last we have : also , i know that acceleration is a contravariant vector : but when i use that definition i don't derive the above result for acceleration !? and reach to a different results so what is my mistake ?
Mentor
P: 6,010
 Quote by world line so what is my mistake ?
It is very difficult to find your mistake without seeing what you have done.
 P: 8 for example : that it is different with the corresponding spherical component if we use the covaraint unit vector the problem will be solved ! and both solution will have unique result is it correct ?
Mentor
P: 6,010

## contravariant components and spherical component of acceleration

 Quote by world line
This expression relates the components of a vector with respect to one coordinate basis to the components of the same vector with respect to a different coordinate basis. In general, coordinate basis vectors are not unit vectors. Standard Cartesian coordinate vectors are unit vectors, but spherical coordinate vectors are unit vectors.

 Quote by world line if we use the covaraint unit vector the problem will be solved ! and both solution will have unique result is it correct ?

is with respect to contravariant unit vectors.
 P: 8 Thank you

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