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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.

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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.

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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.

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PSEB-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 values of p so that the lines (1-x)/3 = (7y-14)/2p = (z-3)/2 ...

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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...

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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 lines whose vector equations ar...

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

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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 equation of the following plane: vecr cdot (hati+ha...

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  14. Find the Cartesian equation of the following plane: vecr cdot (2hati+3...

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  15. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

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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 case, find the coordinates of the foot of the perpend...

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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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