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The three main methods for adding vectors are the polygon method, the parallelogram method and vector addition using its components. Here, we will look at some examples with answers and practice problems for the topic of vector addition.
By the application of the law of polygon of vectors, addition of any number of vectors is possible. Suppose the resultant of four vectors \(\vec{a}\), \(\vec{b}\), \(\vec{c}\) and \(\vec{d}\) is to be determined [Fig.(a)].
The laws of the addition of vectors give us an account of the changes that are produced when two vectors are put together to give a single outcome. To add vectors, the triangle and parallelogram laws of vector addition are used.
How to add vectors geometrically using the nose-to-tail method or head-to-tail method or triangle method, how to add vectors using the parallelogram method, vector addition is commutative and associative, how to add vectors using components, with video lessons, examples and step-by-step solutions.
Polygon Law of Vector. According to the polygon law of vector addition, if the number of vectors can be represented in magnitude and direction by the sides of a polygon taken in the same order, then their resultant is represented by magnitude and direction such that the closing side of the polygon is taken in the opposite direction.
In this video, we will learn about the polygon law of vector addition, how the magnitude and direction of the resultant vectors are determined for a number of vectors acting...
14 Αυγ 2017 · What is a vector? A vector represents any quantity that has both magnitude and direction. So, vectors can be used to represent displacement (ie change of position), velocity, force – but nor distance, speed or energy.
