Home
Class 12
MATHS
Find a unit vector perpendicular to t...

Find a unit vector perpendicular to the plane determined by the points `(1,-1,2),(2,0,-1)a n d(0,2,1)dot`

Promotional Banner

Topper's Solved these Questions

  • Product of two Vectors

    A DAS GUPTA|Exercise Exercise|48 Videos

  • Product of three or more Vectors

    A DAS GUPTA|Exercise Exercise|28 Videos

  • Progression, Related Inequalities and Series

    A DAS GUPTA|Exercise Exercise|235 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector perpendicular to the plane determined by the points (1,-1,2),(2,0,-1) and (0,2,1)

Find the vector perpendicular to the plne determined by the points P(1,-2,2), Q(2,0,-1 ) and R(0,2,1)

A unit vector n perpendicular to the plane determined by the points A (0, -2, 1), B (1, -2, -2) and C (-1, 1, 0)

Find the unit vector perpendicular to the plane of a triangle passing through the points (1,1,2),(2,3,5) and (1,5,5)

Find a unit vector normal to the plane through the points (1, 1, 1), (-1, 2, 3) and (2, -1, 3) .

Find the vector equation of the point determined by the points A (3,-1,2), B (5, 2, 4) and C (-1, -1, 6) Hence, find the distance of the plane, thus obtained, from the origin.

Find the vector equation of the plane passing through the points (1,1,0),(1,2,1) and (-2,2,-1)

Coordinate of a point Q such that PQ, where P(2,1,6) is perpendicular to the plane determined by (2,1,0),(5,0,1) and (4,1,1) and mid-point of PQ lies on it,is

Find the equation of a plane passing through the pint P(6,\ 5,\ 9) and parallel to the plane determined by the points A(3,\ -1,\ 2)B(5,\ 2,\ 4)a n d\ C(-1,\ -1,\ 6)dot Also find the distance of this plane from the point A.

The vector equation of the plane passing through the points (1,-2,1),(2,-1,-3) and (0,1,5) is

A DAS GUPTA-Product of two Vectors-Exercise
  1. If vec a and vec b are vectors, each of magnitude 3 then |vec a+ vec ...

    Text Solution

    |

  2. If vecA = (1, 1, 1), vecC = (0,1,-1) are given vectors, then prove tha...

    Text Solution

    |

  3. Find a unit vector perpendicular to the plane determined by the poi...

    Text Solution

    |

  4. Let beta = 4hati + 3hatj and vec gamma be two vectors perpendicular to...

    Text Solution

    |

  5. If |vec a|=3,|vec b|=5,|vec c|=7 and vec a+vec b+vec c=0 then angle be...

    Text Solution

    |

  6. The conditions under which the vector vec P + vec Q and vec P - vec Q ...

    Text Solution

    |

  7. Let vec O A- vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

    Text Solution

    |

  8. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

    Text Solution

    |

  9. A vector a has components a1,a2,a3 in a right handed rectangular cart...

    Text Solution

    |

  10. If vec a * vec b = vec a * vec c then

    Text Solution

    |

  11. If vec(A)+vec(B)+vec(C )=0 then vec(A)xx vec(B) is

    Text Solution

    |

  12. If vec a xx vec b= vec b xx vec c != vec 0 then which one is true wh...

    Text Solution

    |

  13. A, B, C and D are four points in a plane with position vectors vec a,v...

    Text Solution

    |

  14. If |vec a|= |vec b|= 1 and |vec a xx vec b|=1 then

    Text Solution

    |

  15. The vector vecb = 3j + 4k is to be written as the sum of a vector vecb...

    Text Solution

    |

  16. Let veca=2hati-hatj+hatk , vecb= hati+2hatj-hatk and vec c= hati+hatj-...

    Text Solution

    |

  17. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

    Text Solution

    |

  18. If vec(a). vec(b) = 0 and vec(a) xx vec(b) = vec(0) then which one of ...

    Text Solution

    |

  19. If vec a=4 hat i+6 hat ja n d vec b=3 hat j+4 hat k , then find the c...

    Text Solution

    |

  20. In each of the following, fill in the blank so that the resulting stat...

    Text Solution

    |