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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(5,2,4), 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(5,2,5) and C(-1,-1,6).

Find the distance between the point (7,2,4) and the plane determined by the points: A(2,5,-3),(B(-2,-3,5), C(5,3,-3).

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 the points : (1, -3,4) and (- 4, 1, 2) .

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) and hence find the distance between the plane and the point P(6,5,9).

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.

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

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  2. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

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  3. Find the direction cosines of a line which makes equal angles with the...

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  4. If a line has the direction ratios –18, 12, – 4, then what are its dir...

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

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

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

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  8. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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  9. Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel...

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

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

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  12. Find the cartesian equation of the line which passes through the point...

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

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

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  15. Find the vector and the cartesian equations of the line that passes th...

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  16. Find the angle between the following pair of lines: vecr = 2hati-5hatj...

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  17. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

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  18. Find the angle between the lines [x-2]/2=[y-1]/5=[z+3]/-3 and [x+2]/-1...

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  19. Find the angle between the lines x/2=y/2=z/1 and [x-5]/4=[y-2]/1=[z-3]...

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  20. Find the values of p so that the lines (1-x)/3 = (7y-14)/2p = (z-3)/2 ...

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  21. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

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