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Two vectors having equal magnitude of 5 ...

Two vectors having equal magnitude of 5 units, have an angle of `60^(@)` between them. Find the magnitude of their resultant vector and its angle from one of the vectors.

Text Solution

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`a=5 "unit and" theta=60^(@)`
`R=sqrt(a^(2)+a^(2)+2a.a cos 60^(@))=asqrt(3)=5sqrt(3)` unit
`tan alpha=(a sin 60^(@))/(a+a cos 60^(@))=sqrt((3)/(2))/((3)/(2))=(1)/sqrt(3)=tan 30^(@) thereforealpha=30^(@)`
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