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Find the shortest distance between the l...

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

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Write the vector equation of the line passing through (1,2,3) and pe...

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  2. Find the equation of the plane passing through (a ,b ,c) and parallel ...

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  3. Find the shortest distance between the lines vecr = 6hati+2hatj+2hatk+...

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  4. Find the co-ordinates of the point where the line through (5,1,6) and ...

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  5. Find the coordinates of the point where the line through (5, 1, 6) ...

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  6. Find the co-ordinates of the point where the line through (3, -4, -5) ...

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  7. Find the equation of the plane passing through the point (-1,3,2) and ...

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  8. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

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  9. Find the equation of the plane passing through the line of intersectio...

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  10. If O be the origin and the co-ordinates of P be (1,2,-3), then find th...

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  11. Find the equation of the plane which contains the line of intersectio...

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  12. Find the distance of the point (-1,-5,-10) from the point of intersecț...

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  13. Find the vector equation of the line passing through (1,2,3) and paral...

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  14. Find the vector equation of the line passing through the point (1,2,-4...

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  15. Prove that if a plane has the intercepts a, b, c and it is at a distan...

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  16. Distance between the two planes: '2 x+3 y+4 z=4' and '4 x+6 y+8 z=(12)...

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  17. The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

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  18. Can a line have direction angles 45^circ, 60^circ, 135^circ?

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  19. A line makes angles of 45^circ and 60^circ with the positive axes of X...

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  20. Find the direction cosine of a line which makes equal angles with the...

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