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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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Prove by using distance formula that the points P(1, 2, 3), Q(-1, -1, -1) and R(3, 5, 7) are collinear.

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

(i) Using section formula, show that the points A(-2, 3,5), B(1,2,3) and C(7,0,-1) are collinear. (ii) Using division formula, prove that the points (2,3,4),(-1,-2,1) and (5,8,7) are collinear.

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

Show the equation of the points A (-7 , 4, - 2) , B (-2, 1,0) and C (3, -2, 2) are collinear .

Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC.

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

Show that the points A(2,3,-4) B(1,-2,3) and are collinear.

AAKASH INSTITUTE-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. दर्शाइए कि बिदु A(1, -2, -8), B (5, 0, -2) ओर C(11, 3, 7) संरेख है और ...

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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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