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Question 1304f
Vectors II: Lines and Planes
Relationship between a Point and a Plane
Question
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The planes
p
1
{p_1}
p
1
and
p
2
{p_2}
p
2
are given by
p
1
:
r
⋅
(
−
2
0
5
)
=
8
,
p
2
:
r
⋅
(
−
2
0
5
)
=
6.
\begin{align*} &p_1: \mathbf{r} \cdot \begin{pmatrix} - 2 \\ 0 \\ 5 \end{pmatrix} = 8, \\ &p_2: \mathbf{r} \cdot \begin{pmatrix} - 2 \\ 0 \\ 5 \end{pmatrix} = 6. \end{align*}
p
1
:
r
⋅
−
2
0
5
=
8
,
p
2
:
r
⋅
−
2
0
5
=
6.
What is the relationship between the two planes?
Attempt
Select the correct option:
Same plane
Parallel planes
Intersect in a line
Answer
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