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Question 1301d
Vectors II: Lines and Planes
Relationship between Point and Line
Question
Generate new
Given the point
P
(
−
1
,
−
3
,
0
)
{P \left( - 1, - 3, 0 \right)}
P
(
−
1
,
−
3
,
0
)
and the line
l
:
r
=
(
4
0
2
)
+
λ
(
5
1
2
)
,
λ
∈
R
,
l: \mathbf{r} = \begin{pmatrix} 4 \\ 0 \\ 2 \end{pmatrix} + \lambda \begin{pmatrix} 5 \\ 1 \\ 2 \end{pmatrix}, \; \lambda \in \mathbb{R},
l
:
r
=
4
0
2
+
λ
5
1
2
,
λ
∈
R
,
does
P
(
−
1
,
−
3
,
0
)
{P \left( - 1, - 3, 0 \right)}
P
(
−
1
,
−
3
,
0
)
lie on
l
?
{l?}
l
?
Attempt
Select the correct option:
Yes
No
Answer
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