question   Time Left : 01:59:41 Hello, can you help me with the Geometry 3D with a clear explanation please? Thanks a lot! In the answer, there are questions in red colour that I could not understand, can you please kindly explain them to me? The main problem is that I do not understand : 1/ if linear dependent has parallel or intersection or coplaner  plane with a line or another plane? 2/ if linear independent has parallel , intersection and coplaner plane with a line or another plane? Is it possible to show their difference by drawing? Thanks a lot! Below exercise, two questions shown on the photo are : Q1 : why or in the answer? Q2 : The exercise asked to proof a line and  plane if they are intersections or parallel or coplaner. After calculating,  the line and the plane are dependent. My question is that the line and the plane are linear dependent = coplaner = the line is on the SAME plane? On the other hand, if the line and the plane are parallel = the line and the plane are on the DIFFERENT plane? I am confused! Solve all question

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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 question   Time Left : 01:59:41 Hello, can you help me with the Geometry 3D with a clear explanation please? Thanks a lot! In the answer, there are questions in red colour that I could not understand, can you please kindly explain them to me? The main problem is that I do not understand : 1/ if linear dependent has parallel or intersection or coplaner  plane with a line or another plane? 2/ if linear independent has parallel , intersection and coplaner plane with a line or another plane? Is it possible to show their difference by drawing? Thanks a lot! Below exercise, two questions shown on the photo are : Q1 : why or in the answer? Q2 : The exercise asked to proof a line and  plane if they are intersections or parallel or coplaner. After calculating,  the line and the plane are dependent. My question is that the line and the plane are linear dependent = coplaner = the line is on the SAME plane? On the other hand, if the line and the plane are parallel = the line and the plane are on the DIFFERENT plane? I am confused! Solve all questions
:
X=1-58
Y= 1-8
Z=1+28
and 1:
^x= -1 +λ-M²²
y=2+2+34
x = (1)
V-(3²) (Z=1-22-24
=
+- (-₂)
To proof if they are
Ⓒ proof I, u ū is linear dependent or Indep.
⇒ r £²+uu+ 8 v=0_<_>
1-52 +4-8 = 0
-^ tll +3f²
·22-1-28=01
20
Q1 (what does it mean?)
r = μ = 38 and @ → 0) = -5/M +38) + M-8
=-54-158 +м-з
=-4μ-168=0
نے
=
→ 22 +48 - ³8 = -8 M = - 48
Q1 (whey <> or £7?)
so. I, to and I are linear depends and
I and I are not intersecting.
Buti parallel
or
Coincident
Q2 = if I and I are linear dependent
in the same plane
How is it possible to
be parallel because it
will be on the other plane?
Transcribed Image Text:: X=1-58 Y= 1-8 Z=1+28 and 1: ^x= -1 +λ-M²² y=2+2+34 x = (1) V-(3²) (Z=1-22-24 = +- (-₂) To proof if they are Ⓒ proof I, u ū is linear dependent or Indep. ⇒ r £²+uu+ 8 v=0_<_> 1-52 +4-8 = 0 -^ tll +3f² ·22-1-28=01 20 Q1 (what does it mean?) r = μ = 38 and @ → 0) = -5/M +38) + M-8 =-54-158 +м-з =-4μ-168=0 نے = → 22 +48 - ³8 = -8 M = - 48 Q1 (whey <> or £7?) so. I, to and I are linear depends and I and I are not intersecting. Buti parallel or Coincident Q2 = if I and I are linear dependent in the same plane How is it possible to be parallel because it will be on the other plane?
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