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Show that the line through the points (4...

Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points (– 1, – 2, 1), (1, 2, 5).

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Show that the line through the points : (4,7,8), (2,3,4) is parallel to the line through the points (-1,-2,1) and (1,2,5).

Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

Find the slope of the line through the points : (1, 2), (4, 2).

Show that the line : through (0, 0) and (2, 3) is parallel to the line through (2, 2) and (4, 5) .

Find the slope of the line through the points : (3, -2), (3, 4).

Slope of the line passing through the points (3, -2) and (3, 4) is:

Find the slope of the line through the points (4,-6)(-2,-5)

Find the equation of a line through the point (-2,3) and parallel to the line 3x-4y+2=0.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the lines whose direction cosines are given by ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the direction cosines of a line parallel to the line :(x-5)/6=(y+...

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  19. Write the direction cosine of a line parallel to the line : (3-x)/3=(y...

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  20. Find the vector and the Cartesian equations of the line through the po...

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