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Find the shortest distance between the lines whose vector equations are `vecr=(hati+2hatj+3hatk)+lambda(hati-3hatj+2hatk)` and `vecr=4hati+5hatj+6hatk+mu(2hati+3hatj+hatk)`

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Find the shortest distance between the lines l_1 and l_2 whose vector equations are vecgamma=hati+hatj+lambda(2hati-hatj+hatk) and vecgamma=2hati+hatj-hatk+mu(3hati-5hatj+2hatk)

Find the distance between the lines l_1 and l_2 given by vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk)

Find the shortest distance between the lines vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk)

Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=-4hati-hatk+mu(3hati-2hatj-2hatk)

Find the angle between the following pairs of lines : . vecr=3hati+hatj-2hatk+lambda(hati-hatj-2hatk) and vecr=2hati-hatj-56hatk+mu(3hati-5hatj-4hatk)

Find the angle between the lines vecr=hati-hatj+hatk+lambda(2hati-2hatj+hatk) and vecr=2hati-hatj+2hatk+mu(hati+hatj+2hatk) .

Find the shortest distance between the lines vecr=(-hati+5hatj)+lambda(-hati+hatj+hatk) and vecr=(-hati-3hatj+2hatk)+mu(3hati+2hatj+hatk)

Find the distance between the lines vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr=5hati-2hatk+mu(hati+2hatj+2hatk)

Find the angle between the pair of lines given by vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr=5hati-2hatj+mu(3hati+2hatj+6hatk)

The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+lambda(hati-hatj+4hatk) and the plane vecr.(hati|5hatj|hatk) = 5 is :

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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