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Find the resultant of three vectors shown in the figure.

A

`10m` `tan^(-1)((3)/(4))`

B

`100m` `tan^(-1)((4)/(3))`

C

`110m` `tan^(-1)((4)/(3))`

D

`10m` `tan^(-1)((4)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
From the figure
`On x-"axis" ,x=5sqrt(2) cos 45^(@) +1=5+1+6m `
`on y-"axis", y=5sqrt(2)sin 45^(@) +3=5+3=8m `

Resultant of force vectors ,
`r=sqrt(x^(2)+y^(2))= sqrt((6)^(2)+(8)^(2))= 10m`
`tantheta=(y)/(x)=(8)/(6)=(4)/(3)implies thetatan^(-1)((4)/(3))`
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