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

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The correct Answer is:
`(x + 1)/(2) = (y - 3)/(-7) = (z + 2)/(4)`.
which are the reqd. equations.
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(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) .

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXAMPLE
  1. Find the vector equation of the line which passes through the point (3...

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  2. Find the direction-cosines of the line: (x-1)/(2) = -y = (z + 1)/(2)...

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  3. Find the vector of the line joining (1,2,3) and (-3, 4,3) and show tha...

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  4. Find the vector equation of the line through (4,3, -1) and parallel to...

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  5. Find the angle between the following pair of lines : vec(r) = hati +...

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  6. Find the angle between the following pair of lines (x-2)/(2) = (y - ...

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  7. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance...

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  8. Find the equations of the line passing through the point (-1,3,-...

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  9. If hat(i) + hatj + hatk, 2 hati + 5 hatj , 3 hati + 2 hatj - 3 hatk an...

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  10. Find the value of 'lambda' so the lines: (1-x)/(3) = (7y -14)/(lamb...

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  11. Find the length of the perpendicular from point (3,4,5) on the line (x...

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

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  13. Find the vector equation of the line parallel to the line : (x -1)/(...

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  14. Find the equations of the perpendicular drawn from the point P(2,4,-1)...

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  15. Find the image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 . ...

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  16. Find the co-ordinates of the foot of perpendicular and the length of t...

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  17. Find the vector and cartesan equation of the plane passing through the...

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  18. Find the vector and cartesian forms of the equation of the plane conta...

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