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The vector equation of the plane through...

The vector equation of the plane through the point `(2, 1, -1)` and passing through the line of intersection of the plane `rcdot(hat(i)+3hat(j)-hat(k))=0 and rcdot(hat(j)2hat(k))=0,` is

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The correct Answer is:
`vecr.(hati+2hatj-3hatk) = 0`
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Find the vector equation of the plane which contains the line of intersection of the plane vec rdot( hat i+2 hat j+3 hat k)-\ 4=0 and vec rdot(2 hat i+ hat j- hat k)+5=0 and which is perpendicular to the plane vec rdot(5 hat i+3 hat j-\ 6 hat k)+8=0.

The vector equation of the plane through the point 2hat(i)-hat(j)-4hat(k) and parallel to the plane rcdot(4hat(i)-12hat(j)-3hat(k))-7=0 is

The equation of the plane passing through the point (1, 1, 0) and perpendicular to the line overset(to)( r) = 2 hat(i) + 3 hat(j) + 4 hat(k) + lambda ( 3 hat(i) + 4 hat(j) + 5hat(k) ) is

Find the vector equation of the plane passing through the intersection of the planes -> rdot( hat i+ hat j+ hat k)=6 and -> rdot(2 hat i+3 hat j+4 hat k)=-5 and the point (1, 1, 1).

Find the unit vector perpendicular the plane rcdot(2hat(i)+hat(j)+2hat(k))=5 .

Find the vector equation of the plane passing through the intersection of the planes -> rdot(2 hat i+2 hat j-3 hat k)=7, -> rdot(2 hat i+5 hat j+3 hat k)=9 and through the point (2, 1, 3).

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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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