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### Vector Illustrator Graphic Design     # Addition Using Parallelogram Law Of Vectors

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Statement of Parallelogram Law If two vectors acting simultaneously at a point can be represented both in magnitude and direction by the adjacent sides of a parallelogram drawn from a point then the resultant vector is represented both in magnitude and direction by the diagonal of the parallelogram pvectoring through that point.1. Triangle Law and Parallelogram Law yield the same resultant. 2. Each method is suited for different situations more of which you will learn in future chapters. 3. But at any time both are equally valid methods to find the sum of two vectors.Vector addition is commutative in nature i.e. if C A B then C B A. Similarly if we have to subtract both the vectors using the triangle law then we simply reverse the direction of any vector and add it to other one as shown. Now we can mathematically represent this as C A B. Parallelogram Law of Vector Addition This law is also very similar to triangle law of vector addition. Consider the two

Triangle Law of Vector Addition. A vector ( vecAB ) in simple words means the displacement from point A to point B. Now imagine a scenario where a boy moves from point A Parallelogram law of vector addition Questions and Answers . Note vectors are shown in bold. scalars are shown in normal type. The diagram above shows two vectors 31.03.2016 Addition of vectors Triangle and Parallelogram law of vectors As vectors have both magnitude and direction they cannot be added by the method of ordinary algebra. Vectors can be added graphically or geometrically.

Addition of Vectors basically found their origin from the Triangular Law of Vector Addition. The triangle law of vectors basically is a process that allows one to take two vectors draw them proportional to each other connect them head to tail then draw the resultant vector as a result of the third side that is missing.