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Find the vector equation of the plane whose cartesian form of equation is : `4x-6y+z=5`

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Find the vector equation of the plane whose cartesian form is 5x-7y+2z=3 .

Find the vector equation of the plane which is at a distance of 6/sqrt29 from the origin and its normal vector from the origin is 2hati-3hatj+4hatk . Also find its cartesian form.

Find the equation of the plane through the line of intersection of the planes: x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0

Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4, 2x + y - z = - 5 which is perpendicular to the plane given by the equation 5x + 3y + 6z·= - 8 .

Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4 and 2x + y - z = -5 which is perpendicular to the plane given by the equation 5x + 3y + 6z = -8.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the vector equation of a plane, which is at a distance of 7 uits ...

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  2. Find the vector equation of a plane, which is at a distance of 5 units...

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  3. Find the vector equation of the plane whose cartesian form of equation...

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  4. Find the vector equation of the plane whose cartesian form of equation...

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  5. Find the cartesian equations of the following planes: vecr*(3hati+3hat...

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  6. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  7. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

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  8. What are the direction cosines of the normal to the plane 3x+2y-3z=8?

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  9. Find the direction cosine of the perpendicular from origin to plane ve...

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  10. Find the vector equation of the line through the origin, which is perp...

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  11. Find the distance of the points (2,3,4) from the plane vec(R)*(3hat(i)...

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  12. Find the distance of a point (2,5,-3) from the plane vec(R)*(6hat(i)-3...

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  13. Find the distance from (1,2,3) to the plane 2x+3y-z+2=0

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  14. Find the length of the perpendicular drawn from the origin to the plan...

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  15. Find a unit vector normal to the plane : vecr*(2hati-3hatj+6hatk)+14=0...

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  16. Find the angle between the two planes 3x-6y+2z = 7 and 2x+2y-2z = 5

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  17. Find the angle between the planes : 4x+8y+z=8 and y+z=4

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  18. Find the angle between the following planes 2x-y-z=6 and x+y+2z=7

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  19. Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vec...

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  20. Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vec...

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