what do you mean both valves deactivated? you mean 1 from the intake and 1 from the exhaust?
here's a good page
the VTEC-E is the old pre 2000s economy VTEC system it's VTEC that designed to be more efficient at the lower revs, and only for efficiency purposes. better efficiency, but same performance
but there's also VTC, which is honda's VVT system. but is barely even mentioned nowadays because it's not used separately but instead it's used alongside the VTEC-E to make the
Modern i-VTEC. which is a 3 stage vtec and vvt combination system.
this pic is a good summary of it.
so there is no more of just VTEC, or VTEC-E. it's all only i-VTEC now, because they can use the 3 stage VTEC. to cater to all the range.
how you ask, now this part i'm not too sure of, but i remember either hearing or reading that the low RPM cam lobe that only actuates the 1st valve and the mid range RPM cam lobe which actuated the 2nd intake valve actually has different profiles, so they have different timing and lift. and then the normal high range lobe which lock them altogether is normal.
edit: i just found out, this process i described above is the normal 3-stage VTEC.
and also nowadays, it's still only i-VTEC, but there are types of them apparently
more edit: the economy i-VTEC only have VTEC on the intake and only has 2 cam lobes. but the performance ones has VTEC on both cams (although VTC only in intake), and has 3 cam lobes