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Question 1301d
Vectors II: Lines and Planes
Relationship between Point and Line
Question
Generate new
Given the point
P
(
−
15
,
−
19
,
−
12
)
{P \left( - 15, - 19, - 12 \right)}
P
(
−
15
,
−
19
,
−
12
)
and the line
l
:
r
=
(
−
3
−
4
−
3
)
+
λ
(
3
5
3
)
,
λ
∈
R
,
l: \mathbf{r} = \begin{pmatrix} - 3 \\ - 4 \\ - 3 \end{pmatrix} + \lambda \begin{pmatrix} 3 \\ 5 \\ 3 \end{pmatrix}, \; \lambda \in \mathbb{R},
l
:
r
=
−
3
−
4
−
3
+
λ
3
5
3
,
λ
∈
R
,
does
P
(
−
15
,
−
19
,
−
12
)
{P \left( - 15, - 19, - 12 \right)}
P
(
−
15
,
−
19
,
−
12
)
lie on
l
?
{l?}
l
?
Attempt
Select the correct option:
Yes
No
Answer
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