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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
(
3
2
2
)
{\begin{pmatrix} 3 \\ 2 \\ 2 \end{pmatrix}}
3
2
2
and
(
3
2
0
)
.
{\begin{pmatrix} 3 \\ 2 \\ 0 \end{pmatrix}.}
3
2
0
.
(i)
Find a vector normal to
π
1
.
{\pi_1.}
π
1
.
[2]
A plane
π
2
{\pi_2}
π
2
has equation
6
x
+
2
y
+
z
=
0.
{6 x + 2 y + z = 0.}
6
x
+
2
y
+
z
=
0.
(ii)
Find the acute angle between
π
1
{\pi_1}
π
1
and
π
2
.
{\pi_2.}
π
2
.
[2]
Answer
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