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Mathematics
Mathematics
Problem
Given that
a
=
(
−
1
2
4
)
\mathbf{a} = \begin{pmatrix} -1 \\ 2 \\ 4 \end{pmatrix}
a
=
−
1
2
4
,
b
=
(
p
q
−
12
)
\mathbf{b} = \begin{pmatrix} p \\ q \\ -12 \end{pmatrix}
b
=
p
q
−
12
and that
a
\mathbf{a}
a
and
b
\mathbf{b}
b
are parallel, find the values of
p
p
p
and
q
q
q
.
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