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Show that the points P" "(2," "3," "5) ,...

Show that the points `P" "(2," "3," "5)` , `Q" "(1," "2," "3)` and R `(7," "0," "1)` are collinear.

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Using section formula, prove that the three points A (-2,3,5), B (1,2,3) and C (7,0,-1) are collinear.

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Show that the points (-2, 3, 5) , (1, 2, 3) and (7, 0, -1) are collinear.

Using section formula, show that the points A(1, 2, 1), B(2, 1, 0) and c(7/5, 8/5, 3/5) are collinear.

Using section formula, show that the points A(2,-3,4),\ B(-1,2,1)\ a n d\ C(0,1/3,2)\ are collinear.

Show that the points A (-2,3,5), B (1,2,3) and C (7,0,-1) are collinear.

Using the section formula, prove that the three points A(-2,3,5),B(1,2,3) and C(7,0,-1) are collinear.

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

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the direction cosines of the line passing through (0, 1, -2) and ...

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  2. Find the direction ratios and the direction cosines of the vector vecr...

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  3. Show that the points P" "(2," "3," "5) , Q" "(1," "2," "3) and R (7," ...

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  4. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

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  5. Find the vector equation of a line through the point (-3, 2, -4) and i...

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  6. Find the vector equation of a line passing through origin and is paral...

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  7. Find the equation of line which passes through a point (-1, 2, 3) and ...

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  8. Find the equation of line which passes through a point where line give...

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  9. Find the equation of the line in vector form passing through the point...

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  10. Find the equation of the line in vector form passing through the point...

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  11. Find the equation of line through the points P(1, 2, 3) and Q(3, 4, 5)...

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  12. Find the equation of line through the origin and a point where line (x...

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  13. Find the angle between the lines given by vecr=(2hati+3hatj+4hatk)-l...

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  14. Find the angle between the lines vecr = (hati+hatj)+lambda (hati+hat...

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  15. Find the angle between the pair of lines (x-1)/2=(y-3)/4=(z+2)/6 and...

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  16. Find the angle between the lines, one of which is parallel to the line...

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  17. Find the shortest distance between the lines l(1) and l(2) whose vecto...

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  18. Find the shortest distance between the lines l(1) and l(2) given by ...

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  19. Find the shortest distance between the lines vecr =lambda (2hati+ 3h...

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  20. Find the shortest distance between the lines vecr = hati+ hatj+hatk+...

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