First of all, force vectors are related to accerlation vectors through Newton's law of motion (i.e.,$${\bf{F}} = m{\bf{a}}$$). Vectors are probably the most important tool to learn in all of physics and engineering. Vector analysis is very important in many fields of engineering such as mechanical, civil, structural and electrical engineering. Magnitude The size, extent, or length of a Vector. We can represent vectors in our games to determine how to move entities in relation to each other. They are usually drawn as pointed arrows, the length of which represents the vector's … Here is a good reference on how vectors are used in a computer graphics program to move "something" where something is as simple as dot or more complicated like a … They are used constantly in many different areas. Second, in engineering mechanics, we often define interaction energy betweeen objects, such as … VECTOR ADDITION Two vectors can be added together to form a new vector. Vectors are used to represent physical quantities that have a magnitude and direction associated with them. EN3: Introduction to Engineering Teach Yourself Vectors Division of Engineering Brown University 1. 3. Definition A vector is a mathematical object that has magnitude and direction, and satisfies the laws of vector addition. The fundamental equations governing electrodynamics (Maxwell's equations) and fluid dynamics (Navier-Stokes equations) include gradient, laplacian, curl, and divergence terms. Vectors point into different directions in space. Mechanics is the science of motion and the study of the action of forces on bodies. Vectors are used in science to describe anything that has both a direction and a magnitude. Vectors are regularly used in the fields of engineering, structural analysis, navigation, physics and mathematics. Vectors describe space, and differentiation is fundamental to most physics, so vectors are at the basis of everything. 4. Vector mechanics is the application of vectors in the science of mechanics. Force vectors are also related to position vectors. Some random examples: Classical Mechanics: Block sliding down a ramp: You need to calculate the force of gravity (a vector down), the normal force (a vector perpendicular to the ramp), and a friction force (a vector opposite the direction of motion). For example, Direction The position or orientation of a vector. Because they are easy to generalize to multiple different topics and fields of study, vectors have a very large array of applications.