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Show that the lines (x-5)/7 = (y+2)/-5 =...

Show that the lines `(x-5)/7 = (y+2)/-5 = z/1` and `x/1 = y/2 = z/3` are perpendicular to each other

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Show that the lines : 3x-2y+5=0, y+3z-15=0 and (x-1)/5=(y+5)/-3=z/1 are perpendicular to each other.

Show that the lines : (x-3)/2=(y+1)/-3=(z-2)/4 and (x+2)/2=(y-4)/4=(z+5)/2 are perpendicular to each other.

Find k so that the lines : (x-3)/2=(y+1)/3=(z-2)/(2k) and (x+2)/1=(4-y)/k=(z+5)/1 are perpendicular to each other.

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

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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 angle between the pair of lines (x-5)/7=(y+2)/(-5)=z/1 and x/1=y/2=z/3

Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other . Find also the point of intersection.

Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect each other. Also find their point of intersection.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the lines x/2=y/2=z/1 and [x-5]/4=[y-2]/1=[z-3]...

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

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  3. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

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  4. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

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

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  6. Find the shortest distance between the lines whose vector equations ar...

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

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  8. In the following case, determine the direction cosines of the normal ...

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  9. In the following case, determine the direction cosines of the normal ...

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  10. In each of the following cases, determine the direction cosines of the...

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  11. In the following case, determine the direction cosines of the normal ...

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  12. Find the vector equation of a plane, which is at a distance of 7 units...

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  13. Find the cartesian equations of the following planes: vecr*(4hati+8hat...

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  14. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  15. Find the cartesian equations of the following planes:⃗ r ⋅ [ ( s − 2 t...

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  16. In the following case, find the coordinates of the foot of the perpend...

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  17. In the following case, find the coordinates of the foot of the perpend...

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  18. In the following cases, find the co-ordinates of the foot of the perpe...

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  19. In the following case, find the coordinates of the foot of the perpend...

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  20. Find the vector and cartesian equations of the plane that passes throu...

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