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Vectors have a lot of applications in physics and engineering. Velocity, acceleration and forces are vectors.

For example, you can use vectors to determine the total distance travelled by a boat travelling across a river at 25 miles/hour while the river flows perpendicular to the boat at 10 miles/hour.

There are loads of other applications. Vectors can be used to predict the movement of planets in their orbits, and are useful for 3D geometry in general. Vectors are also essential in electromagnetics, where they are used to represent electric and magnetic fields and their relationships. Maxwell's equations are equations which use vectors. The Poynting vector is used to calculate the flow of electromagnetic energy through space, for example by radio waves or light.

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Q: Commonly used vectors include what?
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