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EFGH is a rhombus such that the angle EFG is 60^(@). The magnitude of vectorsbar(FH)and {m bar(EG)} are equal where m is a scalar. What is the value of m? |
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Answer» 3 RHOMBUS EFGH, `angle EFG=60^(@)` `angleEFG=30^(@)=angleHFG` From parallelogram of FORCES `vec(FE)+vec(FG)=vec(FG)` Given `|vec(FE)|+|vec(FG)|=a`(say) `:.vec(FH)=2. (sqrt(3))/(2)vec(a)=sqrt(3)vec(a)` `vec(EG)=vec(EF)+vec(EH)` `=a sin 30^(@)+a sin30^(@)=a. (1)/(2) + a. (1)/(2)=a` Thus, `(vec(FH))/(vec(EG))=(sqrt(3)a)/(a)=sqrt(3)` So, `vec(FH)=sqrt(3) vec(EG)` `rArr m=sqrt(3)` |
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