Engineering Board Exam Reviewer · Solid Analytic Geometry · medium

Find the angle between two lines with direction numbers (1,1,0) and (0,1,1), in degrees.

  1. 60°
  2. 30°
  3. 45°
  4. 90°

Answer

A. 60°

Solution

=(1)(0)+(1)(1)+(0)(1)/ 2 2= 12 =60°.

More Solid Analytic Geometry questions

  1. Find the distance between the parallel planes 2x-y+2z=4 and 2x-y+2z=13.
  2. Find the distance from the point (2,-1,3) to the plane x+2y-2z+4=0.
  3. Find the acute angle between the planes x+y+z=3 and x-y+z=5, in degrees.
  4. Find the equation of the plane through (1,2,3) that is perpendicular to the vector (2,-1,4).
  5. Find the distance from the origin to the plane 2x-3y+6z-21=0.
  6. A line has direction numbers (2,-3,6). Find its direction cosine with respect to the z-axis.
  7. Find the midpoint of the segment joining (2,-4,6) and (8,2,-2).
  8. Find the distance between the points (1,2,3) and (4,6,15).
  9. Find the volume of the tetrahedron with vertices (1,1,1), (3,1,1), (1,4,1) and (1,1,6).
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