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The angle between the lines whose direc...

The angle between the lines whose direction cosines are given by the equatios `l^2+m^2-n^2=0, m+n+l=0` is

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the direction cosines of the sides of the triangle whose vertices...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. express the following equations of the lines into vector form: (x-3)/3...

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  16. Find the cartesian equation of the line which passes through the point...

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  17. Find the cartesian as well as the vector equation of the line passing ...

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  18. Find the cartesian as well as the vector equation of the line passing ...

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  19. The cartesian equations of a line are : (x-5)/3=(y+4)/7=(z-6)/2 and (x...

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  20. Find the equation of a line parallel to x-axis and passing through the...

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