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Question 1301d
Vectors II: Lines and Planes
Relationship between Point and Line
Question
Generate new
Given the point
P
(
3
,
−
4
,
3
)
{P \left( 3, - 4, 3 \right)}
P
(
3
,
−
4
,
3
)
and the line
l
:
r
=
(
−
2
−
4
−
4
)
+
λ
(
1
5
2
)
,
λ
∈
R
,
l: \mathbf{r} = \begin{pmatrix} - 2 \\ - 4 \\ - 4 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ 5 \\ 2 \end{pmatrix}, \; \lambda \in \mathbb{R},
l
:
r
=
−
2
−
4
−
4
+
λ
1
5
2
,
λ
∈
R
,
does
P
(
3
,
−
4
,
3
)
{P \left( 3, - 4, 3 \right)}
P
(
3
,
−
4
,
3
)
lie on
l
?
{l?}
l
?
Attempt
Select the correct option:
Yes
No
Answer
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