Sketching a parallelogram question

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    Parallelogram
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Homework Help Overview

The discussion revolves around sketching a parallelogram defined by the vectors <2,1,0> and <-3,1,0> in the xy-plane, with an emphasis on understanding how to represent these vectors visually in a two-dimensional context.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore how to accurately sketch points and vectors in the xy-plane, with some questioning the dimensionality of the sketching process. There is a focus on understanding the relationship between the given points and their representation in a two-dimensional space.

Discussion Status

The discussion is ongoing, with participants providing insights into the dimensional constraints of the problem. Some have offered clarifications regarding the xy-plane, while others are seeking further guidance on the sketching process.

Contextual Notes

Participants are navigating the challenge of sketching in a two-dimensional plane while considering the three-dimensional coordinates provided. There is a noted emphasis on the need for clarity regarding the planes in which the points lie.

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Homework Statement


Sketch the parallelogram spanned by <2,1,0> and <-3,1,0> in the xy-plane, and compute its area.


Homework Equations





The Attempt at a Solution


I have already computed the area, so I don't need help with that part. I do need help sketching the parallelogram though. I can't figure out how to sketch vectors in the 3D environment like it asks for. Can anyone provide a quick walk-thru as to how it's done? Thanks in advance!
 
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It appears to ask for a sketch in the xy-plane, i.e. not in 3 dimensions
 
How do I sketch three points <x,y,z> in an xy plane?
 
What plane does the first point lie in? What plane does the second point lie in?

Thus, what plane must the line connecting these two point lie in?
 

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