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

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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Find the value of p so that the lines (x-5)/7=(y+2)/(-5)=z/1 and x/p=y/2=z/3 are perpendicular to each other.

Find the value of 'p' if the lines (x-5)/7=(y+2)/(-5)=z/1 and x/1=y/p=z/3 are perpendicular .

If the straight lines (x-5)/(5m)=(2-y)/(5)=(1-z)/(-1)andx=(2y+1)/(4m)=(1-z)/(-3) are perpendicular to each other, find the value of m.

Show that the lines (x-1)/(-3)=(11y-22)/20 =(z-3)/2 and (11-11x)/30 =(y-5)/1=(6-z)/5 are perpendicular to each other.

If the lines (x-1)/(-3) =(y-2)/(2k) =(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6)/(-5) are perpendicular , find the value of k .

Show that the lines (x-3)/(2)=(y-5)/(-1)=(z+7)/(4) and (x-15)/(4)=(y+12)/(-2)=(z-8)/(8) are parallel.

Show that the lines (x-1)/(4)=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(-2)=(5-z)/(6) are parallel.

Show that the lines (x-1)/4=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(3)=(5-z)/(6) are parallel.

Show that the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(3)and(x-1)/(-3)=(y-4)/(2)=(z-5)/(1) are coplanar. Also, find the plane containing these lines.

NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Ncert TextBook Exercise 11.2
  1. Show that the three lines with direction cosines 12/13,(-3)/13,(-4)/13...

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  2. Show that the line through the points (1,-1,2) ,(3,4,-2) is perpendicu...

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  3. Show that the line through the points (4,7,8),(2,3,4) is parallel to t...

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  4. Find the equation of the line which passes through the point (1,2,3) a...

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  5. Find the equation of the line in vector and in cartesian form that pas...

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  6. Find the cartesian equation of the line which passes through the point...

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  7. The cartesian equation of a line is (x-5)/3=(y+4)/7=(z-6)/2. Write its...

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  8. Find the vector and the cartesian equations of the lines that pass thr...

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  9. Find the vector and the cartesian equations of the line that passes th...

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  10. Find the angle between the following pairs of lines : .vecr=3hati+hatj...

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  11. Find the angle between the following pairs of lines : i.(x-2)/2=(y-...

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

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

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  14. Find the shortest distance between the lines vecr=(hati+2hatj+hatk)+la...

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

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

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

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