How does the law of conversation of energy apply to machines

Yes

Explanation:

Let's use a fan as an example. So a fan will spin around as long as it is connected to power from a power outlet. Now, if your remove the fan from it's source of power, it will no longer have the force to resist other forces, such as gravity or friction. These other forces will cause the fan to come to stand still, as it cannot produce more energy than it started with, and it loses its energy to thermal energy from friction.

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west