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Show that the line joining the origin t...

Show that the line joining the origin to the point `(2, 1, 1)`is perpendicular to the line determined by the points`(3, 5, -1)`,`(4, 3, -1)`.

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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  2. Find the coordinates of the point where the line through the points...

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  3. Show that the line joining the origin to the point (2, 1, 1)is perpen...

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  4. If l1,""""m1,""""n1 and l2,""""m2,""""n2 are the direction cosines ...

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  5. Find the angle between the lines whose direction ratios are a, b, c a...

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  6. Find the equation of a line parallel to x-axis and passing through the...

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  7. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

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  8. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

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  9. Write the vector equation of the line passing through (1,2,3) and pe...

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

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

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

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

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

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

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

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

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

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

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

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