1.

Following forces start acting on a particle at rest at the origin of the co-ordinate system simultaneously `vec(F)_(1)= -4hat(i)-5hat(j)+5hat(k), vec(F)_(2)= 5hat(i)+8hat(j)+6hat(k), vec(F)_(3)= -3hat(i)+4hat(j)-7hat(k)` and `vec(F)_(4)= 2hat(i)-3hat(k)` then the particle will moveA. in x-y planeB. In y-z planeC. In x-z planeD. Along x-axis

Answer» Correct Answer - B
`vec(F)_(1)+vec(F)_(2)+vec(F)_(3)+vec(F)_(4)`
`=(-4hat(i)+5hat(j)-3hat(i)+2hat(i))+(-5hat(j)+8hat(j)+4hat(j)-3hat(j))`
`+(5hat(k)+6hat(k)-7hat(k)-2hat(k))=4hat(j)+2hat(k)`
`:. The particle will move in y-z plane.


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