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The cartesian equations of a line are 3x...

The cartesian equations of a line are `3x + 1 = 6y - 2 = 1 - z`. Find the fixed point through which it passes, its direction-ratios and also its vector equation.

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The Cartesian equation of a line is (x+3)/2 = (y-5)/4 = (z+6)/2 . Find the vector equation for the line.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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

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  3. The cartesian equations of a line are 3x + 1 = 6y - 2 = 1 - z. Find th...

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  4. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  5. Write the equation of a line, parallel to the line (x-2)/-3=(y+3)/2=(z...

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  6. Find the equation of the line perpendicular to the lines : vecr=(3hati...

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  7. Find the equations of the straight line passing through the point (2,...

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  8. Find the equations of the straight line passing through the point (1, ...

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  9. Find the vector and cartesian equations of the line passing through th...

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  10. Find the equation in vector anf cartesian form of the line passing thr...

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  11. Find the equation of the line passing through the point (2, -1, 3) and...

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  12. Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collin...

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  13. Show that the following points whose psitions vectors are given are co...

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  14. Show that the following points whose psitions vectors are given are co...

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  15. Find the points on the line through the points A(1,2,3) and B(5,8, 15)...

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  16. Find the equations of the perpendicular from the point (3,-1,11,) to t...

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

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  18. Find the vector equation of a line passing through a point with positi...

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  19. Find the vector equation of a line passing through the point with posi...

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  20. Find the distance of the point (1,2,3) from the line joining the point...

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