- #1
DaalChawal
- 85
- 0
What Makes Mexico City's History So Fascinating?
- Context: MHB
- Thread starter DaalChawal
- Start date
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Discussion Overview
The discussion revolves around the mathematical representation of geometric objects, specifically lines and planes, in vector form. Participants are exploring the conditions under which these objects intersect and the implications of their equations.
Discussion Character
- Technical explanation
Main Points Raised
- One participant suggests evaluating vector forms to find intersections between geometric objects.
- Another participant expresses difficulty in following the discussion, indicating a potential gap in understanding.
- A third participant distinguishes between a line represented by the equation $\dfrac{x}{1} = \dfrac{y}{2} = \dfrac{z}{3}$ and a plane represented by the equation $3\beta^2x+3(1-2\alpha)y+z=3$, asserting that the latter is not a line.
Areas of Agreement / Disagreement
The discussion appears to have unresolved points, particularly regarding the understanding of the geometric representations and their intersections, as indicated by the differing levels of comprehension among participants.
- #2
Prove It
Gold Member
MHB
- 1,434
- 20
It might be worth evaluating each line in their vector forms, and then seeing if you can find where they intersect.
- #3
DaalChawal
- 85
- 0
I am unable to follow after this
- #4
mrtwhs
- 47
- 0
Although $\dfrac{x}{1} = \dfrac{y}{2} = \dfrac{z}{3}$ is a line, $3\beta^2x+3(1-2\alpha)y+z=3$ is not. It is a plane.
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