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Find the shortest distance between the l...

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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Verified by Experts

The correct Answer is:
`(10)/(sqrt(59))`
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK
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  3. Find the shortest distance between the lines l1 and l2 whose vector eq...

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  4. Find the distance between the lines l1 and l2 given by vecr=hati+2hatj...

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  5. Find the vector equation of the plane which is at a distance of (6)/(s...

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  6. Find the direction cosines of the unit vector perpendicular to the pla...

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  7. Find the distance of the plane 2x – 3y + 4z - 6 = 0 from the origin.

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  9. Find the vector and cartesian equations of the plane which passes thro...

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  10. Find the vector equations of the plane passing through the points R(2,...

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  11. Find the equation of the plane with intercepts 2, 3 and 4 on the x, y ...

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  12. Find the vector equation of the plane passing through the intersection...

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

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  14. Find the angle between the two planes 2x + y - 2z = 5 and 3x – 6y – 2z...

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  15. Find the angle between the two planes 3x – 6y + 2z = 7 and 2x + 2y – 2...

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  16. Find the distance of a point (2, 5, -3) from the plane vecr.(6hati-3ha...

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  17. Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane ...

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  18. A line makes the angle alpha, beta , gamma and delta with the diagonal...

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  19. Find the equation of the plane that contains the point (1,-1, 2) and i...

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  20. Find the distance between the point P (6,5, 9) and the plane determine...

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