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Adding Two Vectors Using the Parallelogram Method

In this guide, we will explore the parallelogram method, a geometric approach utilized to compute the sum of two vectors in a plane.

To begin, we plot two vectors on the plane, represented as u and v.

Plot both vectors.

Following that, we adjust the position of vector v, aligning its starting point with the terminal point of vector u.

Reposition vector v

Subsequently, we similarly adjust vector u so that it originates at the end point of vector v.

Reposition vector u

Upon completion of these movements, the altered positions of vectors u and v will outline a parallelogram on the plane.

We then establish a connection between the two non-adjacent vertices of the parallelogram, forming a new vector.

This is the sum vector

Effectively, we have computed the sum of the vectors u and v, showcasing the application of the parallelogram method.

In essence, the parallelogram method offers an intuitive geometric approach to the summation of vectors.




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