What are ten examples of applying vectors to real life situations?

As with most advanced math, whether you'll actually use this in "real life" depends on whether you work in engineering or science, or not. You won't have much need for advanced math if you work, say, as a hair stylist, a dentist, or a teacher of non-science subjects.

Some uses of vectors (in engineering applications) include:
Forces: calculate a resultant force, calculate conditions for equilibrium.
Torques: calculate conditions for equilibrium.
Momentum: calculations involving collisions.
Electricity: add AC currents or voltages in series (requires complex numbers, which can be considered a type of vector); similarly, do calculations of AC currents or voltages in parallel.