Now, consider whether the following statements are true or false:
a) the dot product assures that the integrand is always non-negative.
b) the dot product indicates that only the component of the force perpendicular to the path contributes to the integral.
c) the dot product indicates that only the component of the force parallel to the path contributes to the integral.
enter t for true or f for false for each statement. separate your responses with commas.

A)F

B)F

C)T

Explanation:

A)

This is not always true that the product of the two vector's always non-negative .It may be positive or negative.

That is why this statement is false.

B)

The unit vectors in three perpendicular direction is i ,j and k.

We know that for unit vectors

i.i=j.j=k.k= 1

i .j= j.k=k.i=0

Therefore only  parallel component of the force will contribute in the integral part instead of perpendicular component of the force.

That is why this statement is false.

C)

This statement is True.

A)F

B)F

C)T

the current is 0.6

voltage ÷ resistance = current

so 12 ÷ 20 = 0.6

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.