Engineering Board Exam Reviewer · Solid Analytic Geometry · easy

Find the distance between the points (1,2,3) and (4,6,15).

  1. 13
  2. 169
  3. 17
  4. 9

Answer

A. 13

Solution

d=sqrt((4-1)2+(6-2)2+(15-3)2)=sqrt(9+16+144)=13.

More Solid Analytic Geometry questions

  1. Find the volume of the tetrahedron with vertices (1,1,1), (3,1,1), (1,4,1) and (1,1,6).
  2. Find the radius of the sphere with center (1,-2,3) that is tangent to the plane 2x-y+2z-3=0.
  3. 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.
  4. Find the angle between two lines with direction numbers (1,1,0) and (0,1,1), in degrees.
  5. Find the distance between the parallel planes 2x-y+2z=4 and 2x-y+2z=13.
  6. Find the distance from the point (2,-1,3) to the plane x+2y-2z+4=0.
  7. Find the acute angle between the planes x+y+z=3 and x-y+z=5, in degrees.
  8. Find the equation of the plane through (1,2,3) that is perpendicular to the vector (2,-1,4).
  9. Find the distance from the origin to the plane 2x-3y+6z-21=0.
  10. A line has direction numbers (2,-3,6). Find its direction cosine with respect to the z-axis.

All Solid Analytic Geometry questions