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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
(
5
0
1
)
{\begin{pmatrix} 5 \\ 0 \\ 1 \end{pmatrix}}
5
0
1
and
(
−
5
2
−
1
)
.
{\begin{pmatrix} - 5 \\ 2 \\ - 1 \end{pmatrix}.}
−
5
2
−
1
.
(i)
Find a vector normal to
π
1
.
{\pi_1.}
π
1
.
[2]
A plane
π
2
{\pi_2}
π
2
has equation
−
3
x
+
2
y
−
z
=
0.
{- 3 x + 2 y - z = 0.}
−
3
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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