@vv 

thank you so much for help! I was tried multiple tutorials and I was able to reproduce what was in the tutorial but then when I would implement my algorithm it wouldn't work. :/

@Carl Love 

Maybe I am just not looking at the graphs correctly. I agree the question I am being asked to perform is a bit vague as well. Hence why I have been having such difficulty with this. :-/

I have attached the question as a file. 

I don't understand how to demonstrate both a 2d and 3d rendering that fully explains this question.Problem_1.mw

@tomleslie 

I guess the question is asking for a 2d and 3D representation of F along the curve r(t). 

I forgot to attach the worksheet.Graphs.mw

Thank you everyone who helped me with this! I was forgetting the view part of the command!

@Carl Love 

I want it to look like this 

instead of like this 

@acer 

I want to start by saying thank you for helping me with this. I have such difficulty with the harder coding in Maple. 

As for the question about planes versus lines, I would like to create a 3D depiction of the contour lines so that when it is rotated it will look like the 2D rendering.

@acer 

Thank you for taking the time to inform me of this change. Do you know how to go about making a 3D contour plot with a certain number of planes? 

@acer even with correcting typeset it still says "the circle 4x^2+9y^2=contourvalue

@rlopez 

Thank you very much for replying and helping me with this problem! I hope one day, Maple will get easier for me. 

@tomleslie 

I am having an issue plotting the point, the vector from an arbitrary point on the plane to the given point and the normal.

@acer 

P1 := x + 2*y + 2*z = 13;
                    P1 := x + 2 y + 2 z = 13
S := map(solve, {P1}, z);
plot3d(S, x = -14 .. 14);

This gave me the plane but I have no idea how to get the point, the vector from the plane to the point, and the n vector.

@Kitonum Thank you! How did you learn how to do this?

@acer 

The top graphical depiction was exactly what I meant! I am so sorry for the vague question.