Answer:
The
Cartesian equations of a line and the plane are
?.
(1)
and
x ?y + z = 5 ?.. (2)
The
coordinates of any point on line (1) are
P(3 + 2, 4 ? 1, 2 + 2).
If
it lies on the plane (2), then
3 + 2 ? (4 ? 1) + 2 + 2 = 5.
coordinate of
point of intersection of line and plane is
(3
× 0 + 2, 4 × 0, ? 1, 2 × 0 + 2)
i.e.,
(2, ?1, 2).
Now
required distance is the distance between points
(?1,
?5, ?10) and (2, ?1, 2)
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