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If magnitude of vector A is less than magnitude of vector B then its x-component will be also less      

Explanation:

In first case magnitude can never be negative -ve sign shows the direction only so it is incorrect statement.

The magnitude of any vector can never be less than its component because component of vector is found with the multiplication of sine and cos angle which values lies between 0 and 1 so after multiplication it gives less value than the vector

If magnitude of any vector is less then its x component will also be less because magnitude of component is dependent on the magnitude of vector