The quantity represented by the diagonal of a constructed parallelogram according to the parallelogram rule will be the sum, or resultant, of the two considered vectors.
We have,
A constructed parallelogram,
Consider the two sides of a parallelogram sharing a common corner as two vectors both originating at the same point.
i.e.
A and B as vectors,
And,
Vectors have both the direction and the magnitude.
And,
According to the parallelogram law of vector addition,
i.e.
The resultant vector of the two vectors is represented by the diagonal of the of the parallelogram.
i.e.
Resultant vector = A + B
Now,
So,
The quantity represented by the diagonal is the resultant vector having magnitude and direction.
Hence we can say that the quantity represented by the diagonal of a constructed parallelogram according to the parallelogram rule will be the sum, or resultant, of two vectors.
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