How do I express Z and R unit vectors in different coordinate systems?

[zekester]

at point T(2,3,-4) in rectangular coordinate system, how would I express the Z unit vector in the spherical system and the R unit vector in the rectangular system? I know T in spherical coordinates is (5.385,-42 degrees,56.3 degrees) but i have no idea how i would express a unit vector in a different coordinate system.

 

[andrevdh]

The x unit vector is the vector (1,0,0) in the rectangular coordinate system. So all you need to do is transform the coordinates from one system to the other.