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Find the vector equation of the plane wh...

Find the vector equation of the plane which is at a distance of `6/sqrt(29)` from the origin and its normal vector from the origin is `2hati-3hatj+4hatk.` Also find its Cartesian equations

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The correct Answer is:
`vecr.(2hati-3hatj+4hatk)=6, 2x-3y+4z=6`
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RS AGGARWAL-THE PLANE-Exercise 28B
  1. Find the vector and Cartesian equations of a plane which is at a dista...

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  2. Find the vector and Cartesian equations of a plane which is at a dista...

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  3. Find the vector equation of the plane which is at a distance of 6/sqrt...

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  4. Find the vector and Cartesian equations of a plane which is at a dista...

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  5. Find the vector and Cartesian equation of the plane that passes throug...

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  6. Find the length of perpendicular from the origin to the plane vecr.(3h...

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  7. Find the Cartesian equation of the plane whose vector equation is vecr...

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  8. Find the vector equation of a plane whose Cartesian equation is 5x-7y+...

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  9. Find a unit vector normal to the plane is x-2y+2z=6.

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  10. Find the direction cosines of the normal to the plane is (3x-6y+2z=7.

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  11. For each of the following planes, find the direction cosines of the no...

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  12. Find the vector and Cartesian equations of the plane passing throgh th...

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  13. Find the coordinates of the foot of the perpendicular drawn from the o...

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  14. Find the co-ordinates of the foot of perpendicular and the length of p...

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  15. Find the length of the foot of the perpendicular from the point (1,1,2...

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  16. From the point P(1,2,4) a perpendicular is drawn on the plane 2x+y-2z+...

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  17. Find the coordinates of the foot of the perpendicular and the perpendi...

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  18. Find the coordinates of the image of the point P(1, 3, 4) in the plane...

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  19. Find the point where the line (x-1)/2=(y-2)/-3=(z+3)/4 meets the plane...

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  20. find the coordinates of point where the line through (3,-4,-5) and (2,...

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