There is undoubtedly no area in physics that does not make use of the concept of vectors. The same is the case with our daily life. Vectors are visible and evident in all activities of our life right from the moment we wake up to the time we sleep. A person jogging in the morning, driving a car, playing a game, movement of an aero plane are just a few instances where vectors are applied in our day-to-day actions. Wherever there is a need to describe the direction of a quantity along with its magnitude, vectors are present (Jagtenberg, 99-103). It is perhaps one of the most critical tools in the study of physics and also engineering. We may now look into some common examples and relate them to physics.
Consider a block or a mass that is rolling down a slope. It is desired to estimate the force of the gravity, the force on the block and the force of friction. The gravitational force is a vector in the downward direction, the force is a vector that is at 90 degrees to the slope and the friction is in the direction opposite to that of the motion (Physicsclassroom.com, 134-139). This is an example of classical mechanics.
Similarly electric and magnetic fields are field in vector quantities with the properties that may be evaluated through vector calculus operations. Quantum mechanics deals with infinite vector spaces through particulate positions as unit vectors or functional spaces (Lacy & Kershner, 349-375). The velocity of the fluid flowing through a pipe is an example of a vector in fluid mechanics and general relativity in tensors as well.
We shall see some more complex examples like a canon that is a artillery piece that uses explosives in order to present a projectile. Canons vary in range, caliber, angle and rate of firing and the power of firing, all of this requiring the use of vectors. Wind is another common example that has a magnitude and direction. The force of the wind blowing along with its velocity helps in describing the motion of other elements moving in air like a plane or any other flying object.