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Show that the following four points are coplanar : (4,5,1),(0,-1,-1),(3,9,4),(-4,4,4)

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Show that the following four points are coplanar :(0,-1,0),(2,1,-1),(1,1,1),(3,3,0)

Show that the following triple of points are collinear : (2, 4), (0, 1), (4, 7).

Prove that the following points are collinear : (1, 2, 3), (4, 0, 4), (-2, 4, 2).

Prove that the following points are collinear : (2,- 4,1), (4, 4, 3), (3, 0, 2).

Show that the four points : (0,-1,1),(4,5,1),(3,9,4),(-4,4,4) are coplanar. Also find the equation of the plane containing them.

Using distance formula, check whether the following points are collinear or not. :- (- 4, 3), (0, 1), (2, 0) and (4,-1).

Show that the points A(4,5,1), B(0,-1,-1), C(3,9,4) and D(-4,4,4) are coplanar.

Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are coplanar and find the equation of the common plane.

Name the octants in which the following points lie: (1, 2, 3),(4, -2, 3), (4, -2,-5), (4, 2, -5), (- 4, 2, -5), (- 4, 2, 5), (-3,-1, 6) (2,-4, -7).

Find the equations of the planes passing through the following points (-3,5,1),(4,-1,2),(2,3,4)

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the vector equation of the plane throught the points (2,1,-1) and...

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  2. Find the equation of the plane through the point (0,0,0) and (3,-1,2) ...

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  3. Show that the following four points are coplanar : (4,5,1),(0,-1,-1),(...

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  4. Show that the following four points are coplanar :(0,-1,0),(2,1,-1),(1...

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  5. Show that the four points : (0,-1,1),(4,5,1),(3,9,4),(-4,4,4) are copl...

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  6. The foot of the perpendicular drawn from the origin to the plane is : ...

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  7. Find the foot and length of the perpendicular from the point (3,4,5) t...

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  8. Find the length and the foot of the perpendicular from the point (7, 1...

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  9. Find the co-ordinates of the points where the line through the points ...

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  10. Find the distance between two parallel planes : 2x+3y+4z=4 and 4x+6y+8...

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  11. Find the equation passing throught the intersection of the planes : 2x...

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  12. Find the equation of the plane throught he intersection of the planes ...

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  13. Find the vector equation of the plane through the intersection of the ...

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  14. Find the equation of the plane passing through the intersection of the...

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  15. Find the equation of the plane through the intersection of the planes ...

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

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  17. Find the equation of the plane through the intersection of the planes ...

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

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

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  20. Find the equation of the plane through the line of intersection of the...

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