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Show that the following points are colli...

Show that the following points are collinear : (1,2,3) , (2,6,3) , (3,10,-1)

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Show that the following points are collinear : A(1,2,7),B(2,6,3),C(3,10,-1).

Using vectors, prove that the following point are collinear: (-2,3,5),(1,2,3),(7,0,-1)

Show that the following points are collinear : A(-2,1),B(-5,-1),C(1,3).

Prove that the following points are collinear : (2, - 1, 3), (4, 3, 1), (3, 1, 2).

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Prove that the following points are collinear : (2,- 4,1), (4, 4, 3), (3, 0, 2).

Using determinants, show that the following points are collinear: (1,5),(5,5) and (-1,3)

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Write the direction cosines of the vector : hati+2hatj+3hatk

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  2. Find the length of the projection of the line segment joining (3,4,5) ...

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  3. Show that the following points are collinear : (1,2,3) , (2,6,3) , (3,...

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  4. Find the acute angle between two lines whose direction ratios are <2,3...

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  5. Find the obtuse angle between two lines whose direction ratios are : <...

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  6. Find the angle between the lines whose direction ratios are : a,b,c...

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  7. Find the direction cosines of the sides of the triangle whose vertices...

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  8. Show that the three lines with direction cosines 12/13, -3/13, -4/13, ...

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  9. The angle between the lines whose direction cosines are given by the ...

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  10. Find the angle between the lines whose direction cosines are given by ...

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  11. Find the area of the triangle ABC whose vertices are : A(1,2,4), B(-2,...

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  12. Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel...

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  13. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  14. Determine the value of k so that the lie joining the points A(k,1,-1),...

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  15. Prove that the angle between any two diagonals of a cube is cos^-1frac...

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  16. Find the projection of the line segment joining the points: (2,-3,0), ...

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  17. Find the projection of the line segment joining the points (1,2,3), (4...

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  18. If the edges of a rectangular parallelopiped are a, b and c, show that...

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  19. write the vectoe equation of the line : (x-5)/-3=(y+4)/7=(6-z)/2.

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  20. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

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