Short Answer Type
meets the plane x + y + z = 2.
measured parallel to the plane 4 x + 12 y - 3z + 1 = 0.
Long Answer Type
Short Answer Type
and the point of intersection of the line 
with the plane x – y + z = 5.
Find the distance of the point (2, 3, 4) from the plane 3x + 2y + 2z + 5 = 0, measured parallel to the line 
Long Answer TypeShort Answer Type
Here, 
The vector equation of plane is
or 
Cartesian equation of plane is
or (x – 1) (24 – 18) – (y – 2) (16 + 12) + (z + 4) (6 + 6) = 0
or 6 (x – 1) – 28 (y – 2) + 12 (z + 4) = 0
or 3 (x – 1) – 14 (y – 2) + 6 (z + 4) = 0
or 3 x – 3 – l4y + 28 + 6z + 24 = 0
or 3 x – 14 y + 6 z + 49 = 0
intersect.
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