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express the following equations of the l...

express the following equations of the lines into vector form: `(x-3)/3=(y-8)/-1=(z-3)/1` and `(x+3)/-3=(y+7)/2=(z-6)/4`.

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Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-3=(y+7)/2=(z-6)/4

If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is lambdasqrt(30) unit, then the value of lambda is

Find the shortest distance between the lines : (x+1)/4=(y-3)/-6=(z+1)/1 and (x+3)/3=(y-5)/2=(z-7)/6 .

Show that the lines (x-1)/2=(y-3)/-1=(z)/-1 and (x-4)/3=(y-1)/-2=(z+1)/-1 are coplanar.

Find the shortest distance between the lines ((x+1)/4=(y-3)/-6=(z+1)/1 and (x+3)/3=(y-5)/2=(z-7)/6

Find the equation of the plane containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

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Find the angle between the following lines (x-5)/(1)=(2y+6)/(-2)=(z-3)/(1) and (x-2)/(3)=(1+y)/(4)=(z-6)/(5)

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

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. write the vectoe equation of the line : (x-5)/-3=(y+4)/7=(6-z)/2.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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