Math Pro
about
qns
questions
progress
Question 1304e
Vectors II: Lines and Planes
Cartesian and Vector Equation of a Plane
Question
Generate new
The line
l
{l}
l
and the plane
p
{p}
p
are given by
l
:
r
=
(
−
2
−
2
4
)
+
λ
(
4
4
−
3
)
,
λ
∈
R
,
p
:
r
⋅
(
2
1
4
)
=
11.
\begin{align*} &l: \mathbf{r} = \begin{pmatrix} - 2 \\ - 2 \\ 4 \end{pmatrix} + \lambda \begin{pmatrix} 4 \\ 4 \\ - 3 \end{pmatrix}, \; \lambda \in \mathbb{R}, \\ &p: \mathbf{r} \cdot \begin{pmatrix} 2 \\ 1 \\ 4 \end{pmatrix} = 11. \end{align*}
l
:
r
=
−
2
−
2
4
+
λ
4
4
−
3
,
λ
∈
R
,
p
:
r
⋅
2
1
4
=
11.
What is the relationship between the line and the plane?
Attempt
Select the correct option:
Intersect at exactly one point
Line lies in plane
Line is parallel to (but not in) plane
Answer
Back to top ▲
Question Progress
Start
Mastery
about
questions
progress