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Two vectors of equal magnitude 5 unit ha...

Two vectors of equal magnitude 5 unit have an angle `60^0` between them. Find the magnitude of (a) the sum of the vectors and (b) the difference of the vectors. . .

Text Solution

Verified by Experts

A= B = 5 unit and `theta = 60^(@) , R = sqrt (A^(2) + B^(2) + 2AB cos60^(@))= 5sqrt3` unit
`tan alpha = (B sin 60^(@))/(A+ B cos 6760^(@))= ((sqrt3)/(2))/((3)/(2))= tan 30^(@) therefore alpha = 30^(@)`
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