Drawing with points, line and planes. I need help/ideas on how to draw my object using these.?
I have to use 3 forms of point, 3 forms of lines and 3 forms of plane to draw my object. I am confused about the plane part too. One of the forms for points that I have already used is using dots.

I'm not exactly sure what your asking. The three point forms of drawing I'm guessing are refering to perspective points?
1 point perspective, 2 point and 3 point.
Do the lines refer to line quality? could you use different mediums to get the desired effects?
Sorry if this doesn't help any, I'm not entirely sure what your project is
References :

perspective, ~ points, line and planes,
http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Points-Lines-and-Planes.topicArticleId-18851,articleId-18769.html
if you mean you not only have to draw geometric patterns , but as well objects that use these in everyday life,
~dots could be constellations, sewing stitches, foot prints ,
~lines could be arrows and spears, tree trunks, roadways, or things that align like telephone poles, row of trees, checker board tiles,
~and planes could be tennis court surface, wall of building, computer and monitor surface, basically a flat slice view of any object like cat scan layers,
http://mrbigcanon.com/mrbigcanon/ct.jpg

http://www.geography.ccsu.edu/kyem/GEOG256/Map_projections/Projection_2.htm
http://www.andrews.edu/~calkins/math/webtexts/geom01.htm
http://jimsaw.com/design/space2.html
http://www.mathreference.com/main.html
..
References :
previous,
http://au.answers.yahoo.com/question/index.php?qid=20070827194237AAyBwyH
..

You could create any object from lines if you use cross-hatching. As for planes, you could create any boxy sort of object– a fence, a car, a house, mailbox…planes are all about perspective, really.
References :