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Find the S.D. between the lines : (x-3)/...

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`

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Find the S.D. between the lines : (x-1)/2=(y-2)/3=(z-3)/2 and (x+1)/3=(y-1)/2=(z-1)/5

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

Find the S.D. between the lines : x/2=y/-3=z/1 and (x-2)/3=(y-1)/-5=(z+2)/2

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 .

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

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the S.D. between the lines : (x-1)/2=(y-2)/3=(z-3)/2 and (x+1)/3=...

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  2. Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (...

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

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  4. Determine whether or not the following pairs of lines intersect : vecr...

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  5. Determine whether or not the following pairs of lines intersect : vecr...

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  6. Determine whether or not the following pairs of lines intersect : (x-1...

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  7. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

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  8. Find the shortest distance and the equation of the shortest distance b...

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  9. Find the shortest distance and the vector equation of the line of shor...

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  10. How many cubic feet are there in a room measuring 5m x 10m x 2m?

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  11. Write the vector equation of the following lines and hence find distan...

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  12. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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  13. Show that the lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) ...

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  14. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  15. Show that the lines: (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...

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  16. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  17. Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)...

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  18. Show that the following lines are coplanar (5-x)/-4=(y-7)/-4=(z+3)/-5 ...

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  19. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

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  20. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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