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Columbs force is a vector and a scalar it is a Quaternion, Coulombs' Force is the derivative of the energy E= -e^2zc/4pi r. The derivative is consists of a scalr and a vector.

XE= [d/dr, Del] [-e^2/zc/4 pi r, 0] = -e^2zc/4pi (d/dr(1/r) + Del 1/r)

XE = e^2zc/4pi r^2 (1 + R/r) where R/r is the unit vector.

Columb's Force is a quaternion involving a scalar force e^2zc/4pi r^2 and a radial vector force, e^2zcR/4pi r^3.

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