Step 1: When light is reflected from an optically rarer medium, the frequency of the light remains unchanged, as the frequency of light does not depend on the medium.
Step 2: However, the phase of the light changes by \( \pi \), as the reflection from a rarer medium results in a phase shift of \( \pi \).
Step 3: Thus, both the phase and frequency of the light remain unchanged in the reflected wave.
If $ | \vec{a} | = 3 $, $ | \vec{b} | = 2 $, then find $ (3\vec{a} - 2\vec{b}) \cdot (3\vec{a} + 2\vec{b}) $.