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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

Verified by Experts

The correct Answer is:
`30^(@)`
`a=5" unit "andtheta=60^(@)`
`R=sqrt(a^(2)+a^(2)+2a.acos60^(@))=asqrt(3)=5sqrt(3)` unit
`tanalpha=(asin60^(@))/(a+acos60^(@))=((sqrt(3))/(2))/((3)/(2))=(1)/(sqrt(3))=tan30^(@) therefore alpha=30^(@)`
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