Parallelogram law if vector addition
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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. Wikipedia
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The Triangle Law of Vector Addition states that "If two similar vectors can be represented both in magnitude and direction as two sides of a triangle taken in order, then the third side taken in the reverse order gives the resultant of two vectors both in magnitude and direction..."
The Parallelogram Law of Vector Addition states that "If two similar vectors can be represented both in magnitude and direction as two adjacent sides of a parallelogram with origins at the intersection, then the diagonal from the point of intersection gives the resultant of the two vectors, both in magnitude and direction..."
The Polygon Law of Vector Addition states that "If a number of vectors can be represented as the sides of a polygon taken in order, both in magnitude and direction, then the side which completes the polygon taken in the reverse order, gives the resultant of all the original vectors both in magnitude and direction..."
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