Home
Class 12
MATHS
Find the vector and cartesian equations ...

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

Text Solution

Verified by Experts

`barr *(hati + hatj + hatk) = -1`
Promotional Banner

Topper's Solved these Questions

  • PLANE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • PLANE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • PAIR OF STRAIGHT LINES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

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 .

Find the vector and cartesian equations of the planes : (a) that passes through the point (1,0,-2) and the normal to the plane is hati + hatj - hatk (b) that passes through the point (1,4,6) and the normal vector of the plane is hati - 2 hatj + hatk .

Find the vector and Cartesian equation of the plane that passes throgh the point (1,0,-2) and the normal vector to the plane is hati+hatj-hatk.

Find the vector and Cartesian equation of the plane that passes through the point (1,4,6) and the normal vector to the plane is hati-2hatj+hatk .

Find the vector and cartesian equations of the planes (a) that passes through the point (1,0,-2) and the normal to the plane is (b) that passes through the point (1,4,6) and the normal vector to the plane is the normal vector to the plane is the normal vector to the plane is hat i-2hat j-hat k

Find the vector and Cartesian equations of a plane which passes through the point (1,4,6) and normal vector to the plane is (hat i-2hat j+hat k)

Find the vector and cartesian equation of plane which passes through the point (1,3,-2) and normal to the vector (2hati+hatj-2hatk) .

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 vector and Cartesian equations of the plane passing through the point (1,2,-4) and parallel to the lines vecr=(hati+2hatj+hatk)-lambda(2hati+3hatj+6hatk) and vecr=(hati-3hatj+5hatk)+mu(hati+hatj-hatk) .

Find the vector and cartesian equation of the plane passing through the point A(1, 1, -2), B(1,2,1) and C (2, -1,1).

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PLANE -Example for Practice
  1. Find the vector equation of the plane passing through the point having...

    Text Solution

    |

  2. Find the vector equation of the plane which is at a distance of 6 unit...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |