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Find the vector equation of the plane pa...

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`.

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The correct Answer is:
`vecr.(11hati+hatj+5hatk)-17=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

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Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr.(2hati-hatj-2hatk)=7 .

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.

Find the vector and cartesian equation of the line passing through the point P (1,2,3) and parallel to the planes : vec(r).(hati - hatj + 2 hatk) = 5. vec(r).(3hati + hatj + hatk) = 6.

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

Find the angle between the planes. vecr.(hati+hatj+2hatk)=5 and vecr.(2hati-hatj+hatk)=8 .

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.

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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