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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

A

`vecr.(hati+9hatj+11hatk)=0`

B

`hatr.(hati+9hatj+11hatk)=6`

C

`hatr.(hati-3hatj-13hatk)=0`

D

none of these

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A
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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).

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OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Exercise
  1. The position vectors of points A and B are hati - hatj + 3hatk and 3...

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  2. The vector equation of the plane through the point 2hat(i)-hat(j)-4hat...

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

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  4. Equation of a plane passing through the intersection of the planes vec...

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  5. The vector equation of a plane which contains the line vecr=2hati+lamd...

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  6. The equation of the plane containing the lines vecr = vec a (1) + lam...

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  7. The equation of the plane containing the lines vecr = vec a (1) + lam...

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

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  9. Find the vector equation of the plane in which the lines vecr=hati+ha...

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  10. The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda)hat...

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  11. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

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  12. The vector equation of the line of intersection of the planes vecr.(2h...

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  13. A straight line vecr=veca+lambda vecb meets the plane vecr. vec n=0 at...

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  14. The equation of the plane passing through three non - collinear points...

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  15. The length of the perpendicular from the origin to the plane passing t...

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  16. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-...

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  17. Find the shortest distance between the following pairs of lines whose ...

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  18. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

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  19. The direction ratios of a normal to the plane passing throuhg (0,0,1)...

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  20. A variable plane is at a distance, k from the origin and meets the coo...

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