The Magnitudes Of Four Pairs Of Displacement Vectors Are Given.Which Pairs Of Displacement Vectors Cannot Be Added To A Given Resultant Vector Of Magnitude 4cm ?

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 + B– 2AB


Rmin = A – B

Thus the magnitude of result, tan t, will lie between A – B and A + B.

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