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A body is at rest under the action of th...

A body is at rest under the action of three forces, two of which are `vec(F)_(1)= 4hat(i), vec(F)_(2)= 6hat(j)`, the third force is

A

`4hat(i)+6hat(j)`

B

`4hat(i)-6hat(j)`

C

`-4hat(i)+6hat(j)`

D

`-4hat(i)-6hat(j)`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(F)_(1)+vec(F)_(2)+vec(F)_(3)=0 implies 4hat(i)+6hat(j)+vec(F)_(3)=0`
`:. Vec(F)_(3)= -4hat(i)-6hat(j)`
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