Home
Class 11
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the point `bara =2bari +3barj-bark " and perpendicular to the vector " 3bari-2barj-2bark` and the distance of this plane from the oringin.

Text Solution

Verified by Experts

The correct Answer is:
`barr.(3bari-2barj-2bark)=2, 3x-2y-2z=2 and 2sqrt17`
Promotional Banner

Topper's Solved these Questions

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE-2.1 (LONG ANSWER QUESTIONS)|5 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|21 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE-2.1 (VERY SHORT ANSWER QUESTIONS)|6 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

Similar Questions

Explore conceptually related problems

The perpendicular distance from origin to the plane passing through the point bara = 2bari +3barj -bark " and perpendicular to the vector " 3bari -2barj-2bark is

Equation of a plane passing through the point A (3,-2,1) and perpendicular to 4bari+7barj-4bark is

The component vector of 4bari-4barj-7bark " perpendicular to " bari-2barj-bark is

The perpendicular distance from origin to the plane passing through the points 2bari -2barj +bark, 3bari +2barj-bark, 3bari -barj-2bark is

If bara " is perpendicular to " bari+barj+ bark " then the vector " bara is

Find the equation of the plane passing through the line of intersection of the planes barr.(bari+barj+bark) =1 and barr.(2bari+3barj-bark)+4 =0 and parallel to X-axis.

Show that the equation of plane passing through the points with position vectors 3bari-5barj-bark,-bari+5barj+7bark and parallel to the vector 3bari-barj+7bark is 3x+2y-z=0

Find the vector equation of the plane passing through the intersection of the planes barr.(bari +barj+bark) = 6 and barr. (2bari+3barj+bark) = -5 " and the point " (1,1,1) .

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE-2.1 (SHORT ANSWER QUESTIONS)
  1. If bara = 2bari+2barj-3bark, barb=3bari -barj+3bark, " then find the a...

    Text Solution

    |

  2. Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk f...

    Text Solution

    |

  3. bara,barb,barc and bard are the position vectors of four coplanar poin...

    Text Solution

    |

  4. If bara+barb+barc=bar0, absbara=3,absbarb=5 and absbarc=7, " then find...

    Text Solution

    |

  5. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

    Text Solution

    |

  6. bara,barb,barc are three vectors of equal magnitudes and each of them ...

    Text Solution

    |

  7. Find unit vector parallel to the XOY-plane and perpendicular to the ve...

    Text Solution

    |

  8. Let bara =4bari+5barj-bark, barb = bari - 4barj+5bark and c= 3bari +ba...

    Text Solution

    |

  9. If bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k...

    Text Solution

    |

  10. Let bara = bari+barj+bark and barb =2bari+3barj+bark. Find The vect...

    Text Solution

    |

  11. If P, Q, R and S are points whose position vectors are bari-bark, -bar...

    Text Solution

    |

  12. Find the equation of the plane passing through the point bara =2bari ...

    Text Solution

    |

  13. Find the Cartesian equation of the plane passing through the point (-2...

    Text Solution

    |

  14. Find the cartesian equation of the plane through the point A (2,-1,-4)...

    Text Solution

    |

  15. Find the angle between the planes 2x-3y-6z=5 and 6x+2y-9z = 4.

    Text Solution

    |

  16. Find anle between planes bar(r ).(2bar(i)-bar(j) + 2 bar(k)) = 3, bar(...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the equation of the plane passing through (a,b,c) and parallel to...

    Text Solution

    |