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**Conceptual ---- Work**

## Homework Statement

In general, the work done by a force F_vec is written as

[itex] W=\int_{\rm i}^{\rm f} \vec{F}(\vec{r})\cdot d\vec{r}. [/itex]

Now, consider whether the following statements are true or false:

Now, consider whether the following statements are true or false:

1) The dot product assures that the integrand is always nonnegative.

2) The dot product indicates that only the component of the force perpendicular to the

path contributes to the integral.

3) The dot product indicates that only the component of the force parallel to the path

contributes to the integral.

## Homework Equations

n/a

## The Attempt at a Solution

To be honest i have no idea about these. My professor doesn't teach, my book (which i just looked through for about 15 mins) doesn't talk about this anywhere, and yet it is on my homework :(

This is what i was thinking but i am really again not sure.

1) true

2) false

3) true

Thanks for any help.