KP wrote:



In the first two instances the departing aircraft is still being vectored.
The vector (a heading issued to provide radar navigational guidance) is
being issued (originates in) the IFR facility (radar approach control or
center) and is *relayed* to the aircraft by the tower. The aircraft may be
talking to the tower but the initial *vector* is (technically) coming from
the approach control or center.

Or the tower if the tower is a radar facility. All class B and C towers
are radar facilities. All have automatic release agreements with their
respective approach controls.



In the third instance the tower issues (originates) the vector. Normally
the tower is delegated a "fan" of headings to use in the LOA. This allows
them to take advantage of the 15deg divergence rule for succesive or
simultaneous departures contained in 5-8-3.

Yes.



Whether a tower does or does not have a radar display has no effect on
whether tower controllers can or cannot *relay* vectors. ANY facility can
relay IFR clearances/instructions.

Yes.



Just because a tower has a radar display does not mean it can *issue*
vectors either. That authority is delegated by the IFR facility through
management channels, is location specific, and operationally unique.

Some VFR towers have a DBRITE scope but are not allowed to vector. It
is the controller equivalent of a VFR GPS. It is for situational
awareness only.