Prentice Hall. All 3. Consider the equation Work = Force X Distance. If a machine
increases the distance over which a force is exerted, the force
required to do a given amount of work

Decreases/Reduces

Explanation:

Fill in the blank:

Consider the equation Work = Force X Distance.

If a machine  increases the distance over which a force is exerted, the force

required to do a given amount of work

If the work is a constant value, then by isolating force from the equation, we get:

Force = Work / Distance

By increasing the value of the Distance, then the quotient Work. Distance diminishes, and therefore the required force decreases (diminishes, reduces)

Decreases/Reduces

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