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Find the angle between the folowing plan...

Find the angle between the folowing planes :-
(i) `vecr.(2hati-3hatj+4hatk) = 5` and `vecr.(-hati+hatj) = 1`
(ii) `vecr.(2hati+3hatj-6hatk) = 1` and
`vecr.(hati-2hatj+2hatk) + 3 = 0`
(iii) `x+y-2z=3` and `2x-2y+z+1 = 0`

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The correct Answer is:
(i) `cos^(-1)((-5)/(sqrt(58)))` , (ii) `cos^(-1)((-16)/(21))` , (iii) `cos^(-1)((-2)/(3sqrt(6)))` , (iv) `(pi/2)`
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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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