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

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Find the shortest distance between the lines l_(1) and l_(2) whose vector equaitons are vecr=hati+hatj+lambda(2hati-hatj+hatk)andvecr=2hati+hatj-hatk-mu(3hati-5hatj+3hatk)

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)

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

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

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

Find the shortest distance between two lines whose vector equations are : vecr=hati-7hatj-2hatk+lambda(hati+3hatj+2hatk) and vecr=-3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

Find the shortest distance between two lines whose vector equations are : vecr=hati+2hatj+hatk+lambda(hati+hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk)

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

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

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

PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. 1 Find the shortest distance between the lines l1 and l2 whose vector ...

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  2. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

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

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  4. If a line has the direction ratios –18, 12, – 4, then what are its dir...

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  5. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...

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  6. Find the direction cosines of the sides of the triangle whose vertices...

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  7. Show that the three lines with direction cosines 12/13, -3/13, -4/13, ...

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  8. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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

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

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

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

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

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  14. Find the vector and the cartesian equations of the lines that passes t...

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

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  16. Find the angle between the following pair of lines: vecr = 2hati-5hatj...

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  17. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

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  18. Find the angle between the lines [x-2]/2=[y-1]/5=[z+3]/-3 and [x+2]/-1...

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

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  21. 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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