Solution
I. The output attempts to do whatever is necessary to make the voltage difference
between the inputs zero. II. The inputs draw no current. Comments on 1: The voltage gain
of a real op-amp is so high that a fraction of a millivolt input will swing the output over its full
range. Practically, that amounts to rule 1. Comments on 2: The input current is so low (0.08
microamps for the 741, picoamps for an FET-input op-amp) that rule 2 is practically correct