Freeflows

Non Intersecting Lines Condition

A line is parameterized by \[\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 0 \\ 6 \end{pmatrix} + t \begin{pmatrix} 4 \\ -6 \end{pmatrix}.\]A second line is parameterized by \[\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 1 \\ -7 \end{pmatrix} + u \begin{pmatrix} a \\ 9 \end{pmatrix}.\]If the two lines do not intersect, then find $ a $.

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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