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Following forces start acting on a parti...

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-

A

In x - y plane

B

In y - z plane

C

In x – z plane

D

Along x -axis

Text Solution

Verified by Experts

The correct Answer is:
B
`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
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