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Find the equation of the plane passes th...

Find the equation of the plane passes through the point `(2,1,-2)` and parallel to the plane `vecr.(3hati+hatj-hatk) = 0`.

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The correct Answer is:
`vecr.(3hati+hatj-hatk)=9`
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Write the vector equation of the plane passing through the point (a, b,c) and parallel to the plane vecr. (hati + hatj + hatk) = 2.

Find the equation of a line passing through the point (1,2,3) and perpendicular to the plane vecr.(2hati-3hatj+4hatk) = 1 .

Find the vector equationof the line passing through the point (3,1,2) and perpendicular to the plane vecr.(2hati-hatj+hatk)=4 . Find also the point of intersection of this line and the plane.

Find the equation of the plane passing through (a,b,c) and parallel through plane vecr.(hati+hatj+hatk)=2 .

The equation of plane passing through the point hati+hatj+hatk and paralel to the plane vecr.(2hati-hatj+2hatk)=5 is

Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .

Find the vector equation o the line passing through (1,2,3) and parallel to the planes vecr.(hati+hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

Find the vector equation of line passing through the point (-1, 2, 1) and parallel to the line vecr=2hati+3hatj-hatk+lamda(hati-2hatj+hatk) . Also , find the distance between these lines .

Find the vector and Cartesian equation of the plane that passes throgh the point (1,0,-2) and the normal vector to the plane is hati+hatj-hatk.

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr*(hati-hatj+2hatk)=5 and vecr*(3hati+hatj+hatk)=6 .

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 D
  1. Find the vector equation of the following plane in non-parametric fo...

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  2. Convert the equation of the plane vecr = (hati-hatj)+lambda(-hati+hatj...

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  3. Find the vector equation of the plane passing through the points P(2\ ...

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  4. Find the equation of the plane passing through A(2, 2, -1) , B(3, 4, 2...

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  5. Find the cartesian equation of plane passing through the points (1,1,...

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  6. Find the angle between the folowing planes :- (i) vecr.(2hati-3hatj+...

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  7. Find the value of 'lambda' if the following planes are perpendicular....

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  8. Find the equation of the plane passes through the point (2,3,5) and pa...

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  9. Find the equation of the plane passes through the point (1,-3,1) and p...

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  10. Find the equation of the plane passes through the point (2,1,-2) and p...

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  11. Equation of plane passing through the points (2, 2, 1) (9, 3, 6) and p...

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  12. Find the equation of a plane passes through the point (0 ,0,0) and per...

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  13. Find the equation of the plane passing through the point (-1, 3, 2) a...

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

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  15. Find the equation of a plane containing the line of intersection of th...

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

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  17. Find the equation of a plane passing through the intersection of the p...

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  18. Find the equation of a plane passing through the intersection of the p...

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  19. Prove that the equaton of a plane through point (2,-4,5) and the line ...

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  20. The vector equation of the plane through the point (2, 1, -1) and pass...

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