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The moment of the force, vec F = 4 hati ...

The moment of the force, `vec F = 4 hati + 5 hat j - 6 hat k` at `(2, 0 , - 3)`. About the point `(2, - 2, -2)` is given by

A

`- 8hat(i)- 4hat(j)- 7hat(k)`

B

`-4hat(i)- hat(j)- 8hat(k)`

C

`-7 hat(i)- 8hat(j)- 4hat(k)`

D

`-7 hat(i) - 4hat(j)- 8 hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(F) = 4hat(i) + 5hat(j)- 6 hat(k)`
`vec(r)= (2- 2) hat(i) + (0 - (-2)) hat(j) + (-3 - (-2) ) hat(k)= 2 hat(j)- 1 hat(k)`
`vec(r)= vec(F) = (2 hat(j) - 1hat(k)) xx (4 hat(i) + 5 hat(j)- 6 hat(k))`
`= |(hat(i),hat(j),hat(k)),(0,2,-1),(4,5,-6)|= -7hat(i) - 4hat(j)- 8 hat(k)`
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