Short Answer TypeFind equation of the plane parallel to x + 3y – 2z + 7 = 0 and passing through the origin.
Equation of any plane parallel to the plane
3x – 2y + z – 11 = 0 is
3x - 2y + z + k = 0 ...(1)
∴ it passes through origin (0, 0, 0)
0 - 0 + 0 + k = 0 ⇒ k = 0
Putting k = 0 in (1), we get,
3x –2y + z = 0
which is required equation of plane.
Long Answer TypeShort Answer TypeIn each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin.
z = 2
In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin.
x + y + z = 1
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