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Find the equation of the plane containin...

Find the equation of the plane containing the points P(2, 3, -1), Q(6, -1, 0) and R(3, 1, 4).

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The correct Answer is:
`26x + 19y + 10z = 137`
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Find the equation of the plane through the points P(1,\ 1,\ 0),\ Q(1,\ 2,\ 1)a n d\ R(-2,\ 2,\ -1)dot

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

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.

Find the equation of a plane containing the point (0,-1,-1),(-4,4,4)and (4,5,1) alos show that (3,9,4) lies on the that plane

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) If P is the point (2,1,6) then find point Q such that PQ is perpendicular to the above plane and the mid point of PQ lies on it.

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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the equation of the plane passing through the points (1,-1,2)a n ...

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  2. Find the equation of the plane through the points A(3, 2, 0), B(1, 3, ...

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  3. Find equation of the plane through (2, 1, 4), (1, -1, 2) and (4, -1, 1...

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  4. Find the equation of the plane containing the points P(2, 3, -1), Q(6,...

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  5. A plane meets the coordinates axis in A, B, C such that the centroid o...

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  6. A variable plane is at a constant distance p from the origin and meets...

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  7. Find the vector equation of a plane containing line of intersection of...

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

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  9. Find an equation for the plane through P(0)=(1, 0, 1) and passing thro...

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  10. Find the equation of a plane containing the line of intersection of...

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  11. Show that lines (x-2)/5=(y+1)/1=(z-2)/-6 and (x+3)/-8=(y-2)/-1=(z-8)/7...

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  12. Find x such that the four points A\ (3,\ 2,\ 1), B(4, x ,\ 5), C\ (4,...

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  13. Find the angle between the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7...

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  14. Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.

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  15. Find the angle between the line (x-1)/3=(y+1)/2=(z-1)/4 and plane 2x +...

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  16. Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (h...

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  17. Find the perpendicular distance from the point P(2, 3, -4) to the plan...

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  18. Find the vector equation of the plane passing through the intersection...

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  19. Find the distance of the point (-2, 3, -5) from the line (x+2)/1=(y-3)...

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  20. Find the point on the line (x+2)/3=(y+1\ )/2=(z-3\ )/2 at a distanc...

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