Two vectors `vec(a)` and `vec(b)` are at an angle of `60^(@)` with each other . Their resultant makes an angle of `45^(@)` with `vec(a)` If `|vec(b)|=2`unit , then `|vec(a)|` isA. `sqrt(3)`B. `sqrt(3)-1`C. `sqrt(3)+1`D. `sqrt(3)//2`

Two vectors `vec(a)` and `vec(b)` are at an angle of `60^(@)` with eac

1.	Two vectors `vec(a)` and `vec(b)` are at an angle of `60^(@)` with each other . Their resultant makes an angle of `45^(@)` with `vec(a)` If `\|vec(b)\|=2`unit , then `\|vec(a)\|` isA. `sqrt(3)`B. `sqrt(3)-1`C. `sqrt(3)+1`D. `sqrt(3)//2`
Answer» Correct Answer - B `tan 45^(@)=(2sin 60^(@))/(a+2 cos 60^(@))=sqrt(3)/(a+1)` or `1=sqrt(3)/(a+1)` or `a+1=sqrt(3)` or `a=sqrt(3)-1`

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