Engineering Board Exam Reviewer · Solid Analytic Geometry · easy

Find the distance from the origin to the plane 2x-3y+6z-21=0.

  1. 21
  2. 7
  3. 1.5
  4. 3

Answer

D. 3

Solution

d= |-21|sqrt(22+32+62)=21/7=3.

More Solid Analytic Geometry questions

  1. A line has direction numbers (2,-3,6). Find its direction cosine with respect to the z-axis.
  2. Find the midpoint of the segment joining (2,-4,6) and (8,2,-2).
  3. Find the distance between the points (1,2,3) and (4,6,15).
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  5. Find the radius of the sphere with center (1,-2,3) that is tangent to the plane 2x-y+2z-3=0.
  6. Find the point that divides the segment from (0,0,0) to (6,9,12) in the ratio 1:2 measured from the first point.
  7. Find the angle between two lines with direction numbers (1,1,0) and (0,1,1), in degrees.
  8. Find the distance between the parallel planes 2x-y+2z=4 and 2x-y+2z=13.
  9. Find the distance from the point (2,-1,3) to the plane x+2y-2z+4=0.
  10. Find the acute angle between the planes x+y+z=3 and x-y+z=5, in degrees.

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