Numerical Value Questions

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  1. 1.

    The angle between lines with direction cosines (1/sqrt(3), 1/sqrt(3), 1/sqrt(3)) and (1,0,0) is:

  2. 2.

    The plane through the intersection of x+y+z=1 and x-y+z=3, perpendicular to x+2y+z=0, is:

  3. 3.

    The volume of the tetrahedron formed by planes x=0, y=0, z=0, and x+y+z=4 is:

  4. 4.

    The point on the line (x-1)/2=(y+1)/3=(z-3)/(-1) closest to the origin is:

  5. 5.

    The shortest distance between the lines x/1=y/(-1)=z/1 and (x-1)/(-1)=y/1=(z-1)/1 is:

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