Home
Class 11
MATHS
The vector equation of the line passing ...

The vector equation of the line passing through the point `vec(i)-2vec(j) + vec(k)` and perpendicular to the vectors `2vec(i)-3vec(j)-vec(k), vec(i) + 4vec(j)-2vec(k)` is

A

`vec(r )= (vec(i) -2vec(j) + vec(k)) + t(10vec(i) + 3vec(j) + 11vec(k))`

B

`vec(r )= (vec(i) + 2vec(j) -vec(k))+ t(10vec(i) + 3vec(j) + 11vec(k))`

C

`vec(r )= (vec(i) + 2vec(j) -vec(k)) + t(10vec(i) -3vec(j) + 11vec(k))`

D

`vec(r )= (vec(i) + 2vec(j) -vec(k))+ t(10vec(i) -3vec(j)-11vec(k))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-I|22 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

Find the unit vectors perpendicular to both the vectors 2vec(i)- 3vec(j) + 5vec(k) and -vec(i) + 4vec(j) + 2vec(k)

A unit vector normal to the plane through the points vec(i), 2vec(j) and 3vec(k) is

Find the vector equation of the plane passing through the points. vec(i)-2vec(j)+5vec(k), -5vec(j)-vec(k) and -3vec(j)+5 vec(j) .

Any vector which is perpendicular to each of the vectors 2vec(i) + vec(j) -vec(k) and 3vec(i) -vec(j) + vec(k) is normal to

A unit vector perpendicular to 2vec(i) + 3vec(j) + 4vec(k) and 3vec(j) + 2vec(k) is

Find the angle between the vectors vec(i) + 2vec(j) + 3vec(k) and 3vec(i) - vec(j) + 2vec(k) .

Find a vector of length sqrt6 and perpendicular to both vec(a)= 2vec(i) -vec(k), vec(b)= 3vec(i)-vec(j)-vec(k)

A vector of magnitude 6 which is perpendicular to both 4vec(i) - vec(j) + 3vec(k) and -2vec(i) + vec(j) - 2vec(k) is

Find a vector of magnitude and perpendicular to both the vectors vec(a)= 2vec(i)- 2vec(j) + vec(k) and vec(b)= 2vec(i) + 2vec(j) + 3vec(k)

AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. The vector area of the parallelogram whose adjacent sides vec(i) + vec...

    Text Solution

    |

  2. Arrange the following in ascending order of magnitude (A) Area of pa...

    Text Solution

    |

  3. If ABCD is a quadrillateral such that vec(AB) = vec(i) + 2vec(j), vec(...

    Text Solution

    |

  4. vec(OA)= vec(a), vec(OB)= 10vec(a) + 2vec(b), vec(OC)= vec(b) where O,...

    Text Solution

    |

  5. The distance of the point B with P.V. vec(i) + 2vec(j) + 3vec(k) from ...

    Text Solution

    |

  6. If vec(OA)= (1, 2, -5), vec(OB)= (-2, 2,1), vec(OC)= (4, 3, -1) then p...

    Text Solution

    |

  7. The perpendicular distance of any point vec(a) on to the line vec(r )=...

    Text Solution

    |

  8. Statement-I: The perpendicular distance from A(1, 4, -2) to the line v...

    Text Solution

    |

  9. A Force vec(F)= 2vec(i) - lamda vec(j) + 5vec(k) is applied at the poi...

    Text Solution

    |

  10. Equation of the plane containing the lines vec(r )= vec(i) + 2vec(j) -...

    Text Solution

    |

  11. The vector equation of the line passing through the point vec(i)-2vec(...

    Text Solution

    |

  12. If the position vectors of the vertices of DeltaABC" ""are" " "3hat(i...

    Text Solution

    |

  13. If |vec(a)|=1, |vec(b)|=2 and (vec(a), vec(b))= 120^(@), then {(vec(a)...

    Text Solution

    |

  14. If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(...

    Text Solution

    |

  15. If vec(a) is a unit vector and vec(a) xx vec(i) = vec(j), then vec(a)....

    Text Solution

    |

  16. If vec(a)= 2vec(i) + 3vec(j)- 5vec(k), vec(b)= m vec(i) + n vec(j) + 1...

    Text Solution

    |

  17. If |overline(a)|=3,|overline(b)|=4 and the angle between overline(a) ...

    Text Solution

    |

  18. Let a.b and c be non-zero vectors such that (a xx b) xx c = (1)/(3) |b...

    Text Solution

    |

  19. vec(a) is perpendicular to both vec(b) and vec(c ). The angle between ...

    Text Solution

    |

  20. If |a| = 5, |b| = 6, |a.b| = 24 then |a xx b| =

    Text Solution

    |