If the angular momentum of a planet is given by .`vec(L) = 5t^(2)hat(i) - 6that(j) + 3hat(k)`. What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum?

Explanation

Given: `vec(L)=5t^(2)hat(i)-6that(j)+3hat(k)`
To find: `vec(tau)="Torque"`
Formula: `vec(tau)=(dvecL)/(dt)=(d)/(dt)(5t^(2)hat(i)-6that(j)+3hat(k))`
`=10that(i)-6hat(j)`