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Show that the line joining the origin to...

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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`therefore` Line OA `bot` Line BC
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MISCELLANEOUS EXERCISE-11
  1. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  2. If l1, m1, n1, and l2, m2, n2 are the direction cosines of two mutuall...

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

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  4. Find the equation of a line parallel to X- axis and passing through th...

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  5. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

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

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

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

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

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

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

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  12. Find the coordinates of the point where the line through (3,--4,-5) an...

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

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

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

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  16. If O be the origin and the coordinates of P be (1, 2, - 3), then find ...

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  17. Find the equation of the plane which contains the line of intersection...

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  18. Find the distance of the point (-1, -5, -10) from the point of interse...

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

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  20. Find the vector equation of the line passing through the point (1, 2, ...

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