Find a plane containing the line
r
‾
(
t
)
=
<
−
4
,
4
,
−
2
>
+
t
<
2
,
6
,
1
>
\displaystyle \overline{{r}}{\left({t}\right)}=<-{4},{4},-{2}>+{t}<{2},{6},{1}>
r
(
t
)
=<
−
4
,
4
,
−
2
>
+
t
<
2
,
6
,
1
>
and orthogonal to the plane
−
2
x
−
6
y
+
4
z
=
5
\displaystyle -{2}{x}-{6}{y}+{4}{z}={5}
−
2
x
−
6
y
+
4
z
=
5
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