The magnitude R of the resultant of two vectors A and B depends upon the magnitudes of A and B and the angle θ between them and is given by:
R2 = A2 + B2 + 2AB cos θ
When θ= 0, R is maximum given by R2max = A + B
When θ = 180°, R is minimum given by R2min= A2 + B2 – 2AB
Rmin = A – B
Thus the magnitude of result, tan t, will lie between A – B and A + B.
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