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Explain the parallelogram law of vector addition and derive the equation relating to the law.

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Final answer:

The parallelogram law of vector addition states that we can find the resultant vector by using the parallelogram rule. This is represented as R = A + B.

Step-by-step explanation:

The parallelogram law of vector addition states that when adding two vectors in a plane, we can use the parallelogram rule to find the resultant vector. To do this, we translate one vector so that its origin is at the same point as the other vector. Then, we draw lines parallel to each vector at their endpoints, creating a parallelogram. The diagonal of the parallelogram represents the resultant vector. Mathematically, we can represent this as:

R = A + B

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