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Question 1302f
Vectors II: Lines and Planes
Relationship between Lines
Question
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The lines
l
1
{l_1}
l
1
and
l
2
{l_2}
l
2
are given by
l
1
:
r
=
(
−
2
4
4
)
+
λ
(
2
−
5
2
)
,
λ
∈
R
,
l
2
:
r
=
(
−
19
3
8
)
+
μ
(
5
2
−
2
)
,
μ
∈
R
.
\begin{align*} &l_1: \mathbf{r} = \begin{pmatrix} - 2 \\ 4 \\ 4 \end{pmatrix} + \lambda \begin{pmatrix} 2 \\ - 5 \\ 2 \end{pmatrix}, \; \lambda \in \mathbb{R}, \\ &l_2: \mathbf{r} = \begin{pmatrix} - 19 \\ 3 \\ 8 \end{pmatrix} + \mu \begin{pmatrix} 5 \\ 2 \\ - 2 \end{pmatrix}, \; \mu \in \mathbb{R}. \end{align*}
l
1
:
r
=
−
2
4
4
+
λ
2
−
5
2
,
λ
∈
R
,
l
2
:
r
=
−
19
3
8
+
μ
5
2
−
2
,
μ
∈
R
.
What is the relationship between the two lines?
Attempt
Select the correct option:
Same
Parallel
Intersecting
Skew
Answer
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