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Find the cartesian as well as the vector equation of the line passing through : `(0,-1,4)` and parallel to the straight line : `(-x-2)/1=(y+3)/7=(2z-6)/3`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. express the following equations of the lines into vector form: (x-3)/3...

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

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

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

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

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

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

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

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

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

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  11. Find the equation of the line in vector and in cartesian form that pas...

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  12. Find the vector equation for the line through the points : (1,2,2) and...

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  13. Find the vector and the cartesian equations of the lines that passes t...

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  14. Find the vector and cartesian equations of the line that passes throug...

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  15. Find the equation of a st line through (-1,2,3) and equally inclined t...

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

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  17. Find the angle between the pairs of lines with direction ratios: <5,12...

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  18. Find the angle between the pairs of lines with direction ratios:<a,b,c...

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  19. The angle between a line with direction ratios proportional to 2, 2, ...

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  20. Find the angle between the following pairs of lines : vecr=3hati+2hatj...

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