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## Homework Statement

electric field polarization for a given antenna is expressed as:

E_i = (

**a**_x +

**a**_y) E (r, theta, phi)

The unit vector along the antenna polarization is found as

**u**_a = 1/Sqrt(2) (

**a**_x

**+ a**_y)

**2. Question**

Where/how is the 1/Sqrt(2) found to resolve those other 2 vectors into a unit vector? Is there a formula or is it some kind of vector addition?

What if there was a factor of 2 added to

**a**_y in the original equation - how would it change that unit vector result?

Thank you