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Find the vector and cartesian equations of the plane that passes through the point `(0, 1, -2)` and normal to the vector `hati + hatj + hatk`.

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`barr*(hati +hatj+hatk)=-1, x+y+z+1=0`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-PLANE -Example for Practice
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  5. Find the vector equation of the plane passing through the point A(1, 0...

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

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

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

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

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

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

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

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

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

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  18. Find the value of p, if the planes barr *(phati - hatj + 2hatk) + 3 = ...

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  19. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

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  20. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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