3. [-/4 Points]
DETAILS
SCALC9 12.5.016.
(a) Find parametric equations for the line through (2, 2, 4) that is perpendicular to the plane $x - y + 2z = 6$. (Use the parameter $t$.)
$(x(t), y(t), z(t)) =
$
(b) In what points does this line intersect the coordinate planes?
xy-plane $(x, y, z) =
$
yz-plane $(x, y, z) =
$
xz-plane $(x, y, z) =
$
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4. [-/2 Points] DETAILS
SCALC9 12.5.019.
Determine whether the lines $L_1$ and $L_2$ are parallel, skew, or intersecting.
$L_1: x = 6 + 4t, y = 8 - 2t, z = 2 + 6t$
$L_2: x = 2 + 8s, y = 6 - 4s, z = 8 + 10s$
$\circ$ parallel
$\circ$ skew
$\circ$ intersecting
If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.)
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