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)_("net") = vec(F)_(1) + vec(F)_(2) + vec(F)_(3) + vec(F)_(4)`
`= (-4 hat(i) - 5hat(j) + 5hat(k))+ (5 hat(i) + 8 hat(j) + 6 hat(k))+ (-3hat(i) + 4hat(j) - 7hat(k))+ (2hat(i)- 3hat(j) - 2hat(k))`
`=4 hat(j) + 2hat(k)` Move in yz plane