Engineering Board Exam Reviewer · Solid Analytic Geometry · medium

Find the distance between the parallel planes 2x-y+2z=4 and 2x-y+2z=13.

  1. 9
  2. 1
  3. 5.67
  4. 3

Answer

D. 3

Solution

d= |13-4|sqrt(22+1+22)= 93=3.

More Solid Analytic Geometry questions

  1. Find the distance from the point (2,-1,3) to the plane x+2y-2z+4=0.
  2. Find the acute angle between the planes x+y+z=3 and x-y+z=5, in degrees.
  3. Find the equation of the plane through (1,2,3) that is perpendicular to the vector (2,-1,4).
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  5. A line has direction numbers (2,-3,6). Find its direction cosine with respect to the z-axis.
  6. Find the midpoint of the segment joining (2,-4,6) and (8,2,-2).
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  9. Find the radius of the sphere with center (1,-2,3) that is tangent to the plane 2x-y+2z-3=0.
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