Math Pro
about
qns
questions
progress
Question 1320
Vectors II: Lines and Planes
2020 Paper 1 Question 1 Variant
Question
Generate new
A plane
π
1
{\pi_1}
π
1
contains two vectors
(
−
1
−
3
1
)
{\begin{pmatrix} - 1 \\ - 3 \\ 1 \end{pmatrix}}
−
1
−
3
1
and
(
3
3
1
)
.
{\begin{pmatrix} 3 \\ 3 \\ 1 \end{pmatrix}.}
3
3
1
.
(i)
Find a vector normal to
π
1
.
{\pi_1.}
π
1
.
[2]
A plane
π
2
{\pi_2}
π
2
has equation
4
x
+
5
y
+
3
z
=
0.
{4 x + 5 y + 3 z = 0.}
4
x
+
5
y
+
3
z
=
0.
(ii)
Find the acute angle between
π
1
{\pi_1}
π
1
and
π
2
.
{\pi_2.}
π
2
.
[2]
Answer
Back to top ▲
about
questions
progress