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Find the equation of the straight line passing through the point (-1,3,-2) and perpendicular to the linese `(x-3)/(7)=(y)/(3)=(z-1)/(2)` and `(x-1)/(2)=(1-y)/(-2)=(z-3)/(7)`

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The correct Answer is:
`=(z-2)/(8)`
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Find the equations of the straight line passing through the point (-1, 3, -2) and is perpendicular to the lines : (x-3)/7=(y)/3=(z-1)/2 and (x-1)/2=(1-y)/z=(z-3)/7 .

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

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

Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

Find the vector and cartesian equation 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)/(-2)=(y)/(2)=(z)/(5)

Find the equations of the straight line passing through the point (2, 3, -1) and is perpendicular to the lines : (x-2)/2=(y+1)/1=(z-3)/3 and (x-3)/1=(y+2)/1=(z-1)/1 .

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

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

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

Find the vector equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0.

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the equation of the straight line passing through the point (-1,3...

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  2. Find the direction cosines of a line which makes equal angles with the...

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  3. If the equations of a line AB are (3-x)/1 = (y+2)/-2 = (z-5)/4, then t...

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  4. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  5. Find the vector equation of a line passing through (2, -1, 1) and para...

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  6. Find the vector equation of the line through the point (2,-1,-1) and i...

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

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  8. Find the coordinates of the point where the line through (3, 4, 1) and...

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  9. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  10. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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  11. Find the vector and cartesian equation of a line through the point (1,...

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  12. Find the vector and cartesian equation of the line passing through the...

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

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

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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 shortest distance between the lines : vecr=hati-hatj+lamda(...

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  18. Find the shortest distance between the following lines whose vector eq...

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  19. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

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  20. Find the shortest distance (S.D.) between the lines : vecr=hatj+lamd...

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

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