Find the point at which the line
{
x
(
t
)
=
3
−
3
t
y
(
t
)
=
5
+
8
t
z
(
t
)
=
−
2
+
2
t
\displaystyle {\left\lbrace\begin{array}{ccc} {x}{\left({t}\right)}&=&{3}-{3}{t}\\{y}{\left({t}\right)}&=&{5}+{8}{t}\\{z}{\left({t}\right)}&=&-{2}+{2}{t}\end{array}\right.}
⎩
⎨
⎧
x
(
t
)
y
(
t
)
z
(
t
)
=
=
=
3
−
3
t
5
+
8
t
−
2
+
2
t
intersects the
x
z
\displaystyle {x}{z}
x
z
plane.
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\displaystyle
Enter your answer as a point. Example: (2,5.5172)
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity