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Determine the equations of the line passing through the point (1, 2, -4 ) and perpendicular to the two lines `(x-8)/8=(y+9)/(-16)=(z-10)/7a n d(x-15)/3=(y-29)/8=(z-5)/(-5)dot`

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Let the cartesian equation of line passing through (1,2,-4) be
`frac{{x}-1}{{a}}=frac{{y}-2}{{~b}}=frac{{z}+4}{{c}}` (i)
Given lines are
`frac{x-8}{3}=frac{y+19}{-16}=frac{z-10}{7}`
...
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Find the Vector and Cartesian equations of the line passing through the point (1,2,4) and perpendicular to the two lines (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

Find the vector equation of the line passing through the point (1,2,-4) and perpendicular to the two lines: (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

Find the vector equation of line passing through the point (1,2,-4) and perpendicular to the two lines: (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

Find the vector equation of line passing through point (1,2,-4) and perpendicular to two lines (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-25)/(8)=(z-5)/(-5)

Find the vector and Cartesian equations of the line passing through the point (1,2-4) and perpendicular to each of the lines (x-8)/(3)=(y+19)/(-16) =(z-10)/(7) " and " (x-15)/(3)=(y+29)/(8) =(z-5)/(-5)

(i) Find the vector and cartesian equation of the line passing through the point (1,2,-4) and perpendicular to the two lines : (x - 8)/(3) = (y + 19)/(-16) = (z - 10)/(7) and (x - 15)/(3) = (y - 19)/(8) = (z - 5)/(-5) . (ii) Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicular to the lines : (x -1)/(1) = (y -2)/(2) = (z - 3)/(3) and (x)/(-3) = (y)/(2) = (z)/(5) .

Find the equation of the line passing through the point (3,1,2) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 and x/(-3)=y/2=z/5

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3andx/(-3)=y/2=z/5

RD SHARMA-STRAIGHT LINE IN SPACE -Solved Examples And Exercises
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  2. Show that the lines (x-5)/7=(y+2)/(-5)=z/1and x/1=y/2=z/3\ are perpen...

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  3. Determine the equations of the line passing through the point (1, 2, -...

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  4. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

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  5. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(1-z)/(-3) . A...

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  6. Determine whether the following pair of lines intersect or not. v...

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  7. Show that the lines (x-1)/3=(y+1)/2=(z-1)/5a n d(x+2)/4=(y-1)/3=(z+1)/...

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  8. 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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  9. Determine whether the following pair of lines intersect or not. v...

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  10. Find the equation of the perpendicular from point (3,-1,11) to line x...

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  11. Find the perpendicular distasnce of the point (1,0,0) from the lines (...

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  12. Find the coordinates of the foot of the perpendicular drawn from po...

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  13. find the foot of perpendicular form (0,2,7) to lien (x+2)/(-1)=(y-1)/3...

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  14. Find the equation of line passing through points A(0,6,- 9) and B(-3,-...

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  15. Find the shortest distance between the lines whose vector equations...

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  16. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/...

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  17. Find the shortest distance between the following pair of lines and ...

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  18. Find the shortest distance between the following lines: (x-3)/1=(y-5)/...

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  19. By computing the shortest distance determine whether the following ...

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  20. By computing the shortest distance determine whether the following ...

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