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)+6 hat(k), vec(F)_(3)=-3 hat(i)+4 hat(j)-7hat(k)` and `vec(F)_(4)=12hat(i)-3hat(j)-2hat(k)` then the particle will move-

Options

A. In x-y plane
B. In y-z plane
C. In x-z plane
D. Along x-axis

Answer

B

Explanation

`vec(F)_(1)+vec(F)_(2)+vec(F)_(3)+vec(F)_(4)`
`=(4hat(i)-5hat(j)+5hat(k))+(-5hati+8hatj+6hatk)+(-3hati+4hatj-7hatk)+(12hati-3hatj-2hatk)=4hatj+2hatk`
`rArr` motion will be in y-z plane