Analytical method of parallelogram law of vector addition
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you can just use formula
R²=A²+B²+2ABcosO if cosO is zero then 2ABCosO will be zero
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If two vectors acting simultaneously at a point can be represented both in magnitude and direction by the adjacent sides of a parallelogram drawn from a point, then the resultant vector is represented both in magnitude and direction by the diagonal of the parallelogram passing through that point.
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