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Find the vector equation to the plane through the point `(2,1,-1) ` passing through the line of intersection of the planes `vecr.(hati+3hatj-hatk)=0 ad vecr.(hatj+2hatk)=0`

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The correct Answer is:
`vecr.(hati+9hatj+11hatk)=0`
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Find the vector equation to the plane through the point (2,1,-1) passing through the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 and vecr.(hatj+2hatk)=0

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

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

Find the equation of the plane through the point hati+4hatj-2hatk and perpendicular to the line of intersection of the planes vecr.(hati+hatj+hatk)=10 and vecr.(2hati-hatj+3hatk)=18.

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

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

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

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 angles between the planes vecr(hati-2hatj-2hatk)=1 and vecr(3hati-6hatj+2hatk)=0

RS AGGARWAL-THE PLANE-Exercise 28C
  1. Find the vector equation of the plane through the point (3hati+4hatj-h...

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  2. Find the equation of the plane passing through (a,b,c) and paralle tot...

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  3. Find the vector equation of a plane which is parallel to the plane vec...

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  4. Find the equation of the plane through the point (1,4,-2) and parallel...

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  5. Find the equation of the plane passing through the origin and parallel...

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  6. Find the equation of the plane passing through the point (-1,0,7) and ...

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  7. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

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  8. Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0.

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  9. Find the equation of a plane containing the line of intersection of...

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  10. Find the equation of the plane through the line of intersection of the...

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  11. Find the equation of the plane passing through the intersection of ...

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  12. Find the equation of the plane passing through the line of intersectio...

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  13. Find the vector equation of the plane passing through the intersection...

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

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  15. Find the equation of the plane through the intersection of the planes ...

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  16. Find the vector equation to the plane through the point (2,1,-1) pass...

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  17. Find the vector equation of the plane passing through the point (1,1,1...

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  18. Find the equation of a plane passing through the intersection of the p...

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  19. Find the equation of the plane through the line of intersection of the...

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  20. Find the Cartesian and vector equation of the planes through the line ...

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