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The equation of the plane through the in...

The equation of the plane through the intersection of the planes `vecr.(2hati+6hatj)+12=0` and `vecr.(3hati-hatj+4hatk)=0` and at a unit distance from the origin, is

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The correct Answer is:
`vecr.(2hati+hatj+2hatk)+3=0` or `vecr(-hati+2hatj-2hatk)+3=0`
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Find the Cartesian as well as the vector equation of the planes pasing through the intersection of the planes vecr.(2hati=6hatj)+12=0 and vecr.(3hati-hatj+4hatk)=0 which are at unit distance from the origin.

Find the Cartesian and vector equation of the planes through the line of intersection of the planes vecr.(hati-hatj)+6=0 and vecr.(3hati+3hatj-4hatk)=0 , which are at a unit distance from the origin.

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

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+3hatj)-6=0 and vecr.(3hati-hatj-4hatk)=0 , whose perpendicular distance from the origin is unity.

Find the equation of a plane passing through the intersection of the planes vecr.(2hati-7hatj+4hatk)=3 and vecr.(3hati-5hatj+4hatk) + 11 - 0 and passes through the point (-2hati+hatj+3hatk) .

Find the vector equation of the plane passing through the intersection of the planes vecr.(2hati-7hatj+4hatk)=3andvecr.(3hati-5hatj+4hatk)+11=0 and passing through the point (1,0,2).

Find the equation of a plane passing through the intersection of the planes vecr . (hati+3hatj-hatk) = 5 and vecr.(2hati-hatj+hatk) = 3 and passes through the point (2,1,-2) .

The vector equation of the pane passing through the intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(hati-2hatj)=-2 and the point (1,0,2) is

Find the vector equation of a plane passing through the intersection of the planes vecr.(hati+hatj+hatk) = 6 and vecr. (2hati+3hatj+4hatk) - 5 = 0 and through the point (2,2,1) .

Equation of plane through (1,0,2) and line of intersection of planes vecr*(hati+hatj+hatk)=1 and vecr*(hati-2hatj)=-2

CBSE COMPLEMENTARY MATERIAL-THREE DIMENSIONAL GEOMETRY -FOUR MARK QUESTIONS
  1. Find the equation of a plane containing the point (0,-1,-1),(-4,4,4...

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  2. Find the equation of the plane which is perpendicualr to the plane v...

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  3. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

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  4. Find the equation of the plane passing through the lineof intersection...

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  5. Find the vector equation of the line passing through the poin...

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  6. Find the equation of the plane through the points A(3,4,2) and B(7,0,6...

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  7. The equation of the plane through the intersection of the planes vecr....

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  8. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

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  9. Find image (reflection )of the point (7,4,-3) in the line (x)/(1)=(y-1...

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  10. find the equation of a plane passing through the points (2,-1,0) and (...

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  11. Find the distance of the point (-1,-5,-10) from the point of interse...

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  12. Find the equation of the plane passing through the points (2,-1,0) and...

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  13. Show that the lines (x+1)/(3)=(y+3)/(5) =(z+5)/(7) " and " (x-2)/(1...

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  14. Find the shortest distacne between the lines vecr=hati+2hatj+3hatk+m...

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  15. Find the distacne of the point (2,3,-4) from the line (x+2)/(3)=(2y+3)...

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  16. Find the equation of plane passing through the point (-1,-1,2) and pe...

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  17. Find the equation of a plane passing through (-1,3,2) and parallel to ...

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  18. Show that the plane vecr.(hati-3hatj+5hatk)=7 contains the line vecr=(...

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  19. Check the co planarity of lines vecr=(-3hati+hatj+5hatk)+lambda(-3h...

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