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Prove that the equaton of a plane throug...

Prove that the equaton of a plane through point `(2,-4,5)` and the line o lintersection of the planes `vecr.(2hati+3hatj-4hatk) = 1` and `vecr.(3hati+hatj-2hatk) = 2` is `vecr.(2hati+8hatj+7hatk) = 7`.

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Find the line of intersection of the planes vecr.(3hati-hatj+hatk)=1 and vecr.(hati+4hatj-2hatk)=2

The vector parallel to the line of intersection of the planes vecr.(3hati-hatj+hatk) = 1 and vecr.(hati+4hatj-2hatk)=2 is :

The vector equation of the line of intersection of the planes vecr.(2hati+3hatk)=0 and vecr.(3hati+2hatj+hatk)=0 is

A unit vector parallel to the intersection of the planes vecr.(hati-hatj+hatk)=5 andvecr.(2hati+hatj-3hatk)=4 is

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

Find the equation of the plane through the line of intersection of the planes vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to the plane vecr.(2hati-hatj+hatk)+8=0 .

Find the angle between the planes vecr.(hati+hatj-2hatk)=3 and vecr.(2hati-2hatj+hatk)=2 2

The angle between the planes vecr. (2 hati - 3 hatj + hatk) =1 and vecr. (hati - hatj) =4 is

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to x-axis.

Find the points of intersection of the line vecr = (2hati - hatj + 2hatk) + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

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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