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Show that the points (1,2,3), (2,3,1) an...

Show that the points (1,2,3), (2,3,1) and (3,1,2) from an equilateral triangle.

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If the points (-1,-1,2), (2,m,5) and (3,11,6) are collinear, then find...

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  2. Two vertices of a tringle are (1,2,3) and (3,-2,7) and centroid is (2,...

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  3. Show that the points (1,2,3), (2,3,1) and (3,1,2) from an equilateral ...

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  4. Find the direction cosines of the line segment joining (1,-1,2) and (...

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  5. Find the projection of the line segment joining (1,2,3) and (2,3,4) on...

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  6. If P,Q,R,S are points (1,2,5), (-2,1,3), (4,4,2) and (2,1,-4) respecti...

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  7. If A,B,C are points (0,4,1), (2,3,-1), ), (4,5,0) find the angle that ...

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  8. Find the acute angle between the lines whose d.rs are (1, 1, 2) and (s...

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  9. Find the equation of the plane passing through the points (2,1,3), (3,...

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  10. Find the equation of the plane parallel to z-axis and with intercepts ...

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  11. Find the equation of the plane through the point (-1,3,0), which is pe...

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  12. Find the equation of the plane if the point (5,-3,4) is the foot of th...

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  13. Find the equation of a plane which is at a distance 3 units from the o...

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  14. Find the components of the unit vector perpendicular to the plane r^ra...

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  15. Writing the equation of the plane 3x-2y+z+2=0 in normal form find its ...

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  16. Find the angle between the planes x+2y+3z+1=0 and 3x+2y+z+2=0

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  17. Find the equation of the plane through the point (2,1,0) and passing t...

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  18. Find the position of the points (1,2,-1) and (2,-1,3) with respect to ...

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  19. Find the intercepts of a plane 3x+4y=7z=84on co-ordinate axes.

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  20. Find the equation of the plane through the points (1,1,0), (-2,2,1) an...

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