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Reduce the equation barr*(3hati - 4hatj ...

Reduce the equation `barr*(3hati - 4hatj + 12hatk) = 3` to the normal form and hence find the length of perpendicular from the origin to the plane.

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`barr*((3)/(13)hati-(4)/(13)hatj+(12)/(13)hatk)=(3)/(13),(3)/(13)` units
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-PLANE -Example for Practice
  1. Find the vector equation of the plane which is at a distance of 6 unit...

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  2. Find the vector and cartesian equations of the plane that passes throu...

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  3. Reduce the equation barr*(3hati - 4hatj + 12hatk) = 3 to the normal fo...

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  4. Find the direction cosines of perpendicular from the origin to the pla...

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  5. The coordinates of the foot of a perpendicular drawn from the origin t...

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  6. Find the vector and cartesian equations of the plane that passes throu...

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  7. Find the vector and cartesian equation of the plane passing through th...

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  8. Find the vector equation of the plane passing through the point A(1, 0...

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  9. Find the vector equation of the plane passing through the point hati +...

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  10. Line barr = (hati - hatj + hatk) + lambda(2hati- hatj + hatk) containe...

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  11. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

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  12. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  13. Find the cartesian form of the equation of the plane. barr = (hati ...

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

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

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  16. Prove that the lines (x-2)/1=(y-4)/4=(z-6)/7 and (x+1)/3=(y+3)/5=(z+5)...

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  17. A variable plane which remains at a constant distance 3p from the orig...

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  18. Find the angle between the planes whose vector equations are barr ...

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  19. If the line barr = (hati - 2hatj + 3hatk) + lambda(2hati + hatj + 2hat...

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  20. The planes barr *(3hati - 2hatj + phatk) =1 and barr *(-2hati + phatj ...

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