On Wed, 20 Jul 2005 11:05:24 -0500, Marcel scrubbing vigorously in the
air:

Typical of you to call someone stupid when they simply
come from a different field

It stands to reason when that engineer changes the questions to suit
the only answers he knows.

Only a stupid engineer would use the cross product to figure out 60Hz
transmission line delivery. Really, I too have a library, thick
volumes including very detailed specifics of 60Hz power, and they
seemed to have built an entire industry without worrying about
direction vectors. Luckily they didn't employ flip-flop designers to
build linear systems.

Ask him what is in his
transmission lines and he will say power, some of it reactive.

The topic of reactive LOADS (not lines) is discussed at great length
and nowhere is it stated that transmission lines have power IN THEM.
However, your impoverished representation of the power industry
knowledge serves only your lame theories.

Which one is the vector?

P^ = E^ x H^

The very first formula from the Standard Handbook for Electrical
Engineers, Section 11, Power Transmission, Electrical Calculations:
I = P / E (1)
no vector notation used or needed.

(I appologize if that fact bothers physicists.)
Your guilt has been duly noted.

Standard Handbook for Electrical Engineers, Section 11, Power
Transmission, Electrical Calculations, Para 13, Transmission Line
calculations:
"Analytical solutions of problems involving vector quantities may
be made by resolving each vector into two components - R and jX"
no vector notation used or needed, and certainly direction and power
are wholly missing. This is entirely congruent with my statement.

Standard Handbook for Electrical Engineers, Section 11, Power
Transmission, Para. 33, Charts and Diagrams:
Figures 19 & 20, Perrine-Baum diagrams.
no direction vectors whatever.

Standard Handbook for Electrical Engineers, Section 11, Power
Transmission, Para. 36, Charts and Diagrams:
Figures 22, Mershon diagrams.
no direction vectors whatever.

Standard Handbook for Electrical Engineers, Section 11, Power
Transmission, Para. 44, General Features of Design:
no direction vectors whatever.

Standard Handbook for Electrical Engineers, Section 11, Power
Transmission, Para. 69, System Disturbances:
no direction vectors whatever.

The wavelength of 60Hz power is about 3000 miles

Standard Handbook for Electrical Engineers, Section 11, Power
Transmission, Para. 73, A Line whose length is a quarter wave:
L = 183000 / 4f
no direction vectors whatever.

FINALLY! The only explicit direction vector (but still no math vector
actually used):

Standard Handbook for Electrical Engineers, Section 11, Power
Transmission, Para. 102, Calculation of Horizontal Stress; Para. 106,
Example of stress-sag calculation; Para. 111 The Thomas chart for sag;
Para. 129, Flexible Towers ...

Well, that's just about the end of it (this tome is only 2000 pages
long and undoubtedly missed your cross product somewhere among all
this useless information).