Math Pro
about
qns
questions
progress
Question 1304c
Vectors II: Lines and Planes
Equation of a Plane from III
Question
Generate new
The line
l
{l}
l
and plane
p
{p}
p
are given by
l
:
r
=
(
0
2
−
4
)
+
λ
(
1
−
1
0
)
,
λ
∈
R
,
p
:
r
⋅
(
2
2
−
1
)
=
0.
\begin{align*} &l: \mathbf{r} = \begin{pmatrix} 0 \\ 2 \\ - 4 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ - 1 \\ 0 \end{pmatrix}, \; \lambda \in \mathbb{R}, \\ &p: \mathbf{r} \cdot \begin{pmatrix} 2 \\ 2 \\ - 1 \end{pmatrix} = 0. \end{align*}
l
:
r
=
0
2
−
4
+
λ
1
−
1
0
,
λ
∈
R
,
p
:
r
⋅
2
2
−
1
=
0.
Find the perpendicular distance between
l
{l}
l
and
p
.
{p.}
p
.
Attempt
Your answer:
Answer
Back to top ▲
Question Progress
Start
Mastery
about
questions
progress