What is the parallelogram law?
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- In mathematics, the simplest form of the parallelogram law belongs to elementary geometry.
- It states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals.
- Using the notation in the diagram on the right, the sides are.
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The steps for the parallelogram law of addition of vectors are:
1) Draw a vector using a suitable scale in the direction of the vector
2) Draw the second vector using the same scale from the tail of the first vector
3) Treat these vectors as the adjacent sides and complete the parallelogram
4) Now, the diagonal represents the resultant vector in both magnitude and direction
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