Could anyone explain me how to do tasks like this one:
Plane is intersecting Oy axis when $y = 3$ and line equation is $ 2x + 4= y-2=z$ belonds to plane.
Write plane equation.
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I edited your question. Check if it's correct or not? ($2x+4+y−2=z$) – Zia Jan 24 '14 at 09:37
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Thanks for the correction,maybe you could help me with the problem now ? :) – Laury Jan 24 '14 at 09:46
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Is that your homework or what? Have you learn it yet? – Zia Jan 24 '14 at 09:49
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1@Zia I think that you are wrong.It is the symmetric equations of the line. – nadia-liza Jan 24 '14 at 09:49
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It's not a homework, more then practise I need to understand in my course work. I have been given a canonical line form. Not sure how to use it to find plane as I described above. – Laury Jan 24 '14 at 09:50
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@nadia-liza Corrected. Thanks. – Zia Jan 24 '14 at 09:51
1 Answers
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find 3 points which belong to plane. The first is $(0,3,0)$. if a line belongs to plane then all its points belong to plane. Since points $(-2,2,0)$ and $(2,10,8)$ belong to the line $ 2x + 4= y-2=z$ . We have the 3 points which belong to the plane. Formula on http://en.wikipedia.org/wiki/Plane_(geometry) (Defining a plane through three points) helps you write plane equation.
I am sorry for my English
nadia-liza
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