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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
−
5
−
3
)
=
2
,
p
2
:
r
⋅
(
−
10
25
15
)
=
−
10.
\begin{align*} &p_1: \mathbf{r} \cdot \begin{pmatrix} 2 \\ - 5 \\ - 3 \end{pmatrix} = 2, \\ &p_2: \mathbf{r} \cdot \begin{pmatrix} - 10 \\ 25 \\ 15 \end{pmatrix} = - 10. \end{align*}
p
1
:
r
⋅
2
−
5
−
3
=
2
,
p
2
:
r
⋅
−
10
25
15
=
−
10.
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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