Magnetization relation to magnetic field applied

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A few simple questions which I am not sure about, it's about NMR.

First sentence: "A magentic field B0 is applied on a sample, If the applied magnetic field B0 is stronger, the magnetisation of material is greater" . Would you say that sentence is correct? As I understood, magnetization is a property of the material, so it confuses me.

Second question is: does magnetization have only a longitudinal component? In which cases does it have a transverse one as well? and how does that contribute to NMR/MRI ?


Thanks for assisting
 

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