Exponential Form of Vector Representation

Author: E.E. Kimberly

From calculus,

and

where θ is expressed in radians. Therefore,

By McLaurin's Theorem, ε^θ may be expressed as an infinite series as follows:

Therefore,

which is the expression just derived for cos θ + j sin θ and

A vector A can then be expressed as follows:

(4-5)