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Find the distance between the point P(6,...

Find the distance between the point P(6,5,9) and the plane determined by the points A(3,-1,2), B(5,2,5) and C(-1,-1,6).

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Find the distance between the point P(6,5,9) and the plane determined by the points A(3,-1,2), B(5,2,4), C(-1,-1,6)

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Find the distance of the point P(6,5,9) and from the plane through the points (3,-1,2), (5,2,4) and (-1,-1,6).

Find the distance between the points P(-2, 4, 1) and Q(1, 2, -5).

Find the distance between points : A(2,3,5) and B (4, 3, 1).

Find the equation of the plane determined by the points A(3, -1, 2), B(5, 2, 4) and C(-1, -1, 6). Also find the distance of the point P(6, 5, 9) from the plane.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the distance between the point P(6,5,9) and the plane determined ...

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  2. Find the points on z-axis which are at a distance of sqrt21 from the p...

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  3. Find k so that the distance between the points (7, 1, - 3) and (4,5, k...

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  4. Find the point on x-axis which is equidistant from the point (1,3,2) a...

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  5. Find the point which is equidistant from the points (a,0,0),(0,b,0),(0...

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  6. Show that the points (2,4,3),(4,1,9) and (10,-1,6) are the vertices of...

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  7. Find the locus of a point which is equidistant from the points (3,2,1...

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  8. Find the point in the XY-plane which is equidistant from the points (2...

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  9. Prove that the point A (0,0,0),B(2,0,0),C(1,sqrt3,0) and D(1,1/sqrt3, ...

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  10. Find the coordinates of the point which divides the join of the points...

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  11. Find the points on the line segment PQ situated at 2/3 of the distan...

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  12. Find the points on the line segment PQ situated at 2/3 of the distan...

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  13. If A and B are two points whose position vectors are 3hati+2hatj-2hatk...

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  14. If A and B are two points whose position vectors are 3hati+2hatj-2hatk...

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  15. Find the coordinates of the point which is three fifth of the way (3,4...

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  16. Find the ratio in which the line segment joining : (1,2,3) and (-3,4,-...

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  17. If A and B are the points (-3,4,-8) and (5,-6,4) respectively, find th...

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  18. Using section formula, prove that the three points (-2,3,5),(1,2,3) an...

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

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  20. Using vectors, show that the medians of a triangle are concurrent.

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  21. Prove that the points A(5,0,2), B(2,-6,0),C(4,-9,6) and D(7,-3,8), tak...

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