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Consider the points A(3,2,4), B(5,8,0( a...

Consider the points A(3,2,4), B(5,8,0( and C(4,5,2). Using only distance formula
prove that A, B and C are collinear. Also prove that C is the mid point of AB.

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A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. If a line makes alpha,beta,gamma with x,y,z axis respectively, then pr...

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  2. Consider the points A(3,2,4), B(5,8,0) and C(4,5,2).Find the direction...

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  3. Consider the points A(3,2,4), B(5,8,0( and C(4,5,2). Using only distan...

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  4. If a lne makes angles. 90^@, 135^@, 45^@ with the x,y and Z−axes resp...

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  5. If a line makes angles. 90^@, 60^@, 30^@ with the x, y and z axes resp...

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

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  7. If a line has the direction ratios '-18,(12) ,-4', then what are its d...

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

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

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  10. Find direction cosines of the line passing through the poins P(-2, 4, ...

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

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  12. Show that the line through the points (1,-1,2), (3,4,-2) is perpendicu...

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  13. Find the equation of the line through the points (-1, -2, 1) and (1, 2...

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

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

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  16. Find the cartersian equation of the line which passes through the poin...

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

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  18. Find the vector and the cartesian equation of the lines that passes th...

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

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  20. Find the angle between the pair lines barr=2i-5j+k+lambda(3i+2j+6k) ...

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