Home
Class 12
MATHS
If the vectors vec(AB)=3hati+4hatk and v...

If the vectors `vec(AB)=3hati+4hatk` and `vec(AC)=5hati-2hatj-4hatk` are the sides of a triangle ABC, then the length of the median through A is :

A

`sqrt(72)`

B

`sqrt(33)`

C

`sqrt(45)`

D

`sqrt(18)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

If vectors vec(AB) = -3hati+ 4hatk and vec(AC) = 5hati -2hatj+4hatk are the sides of a Delta ABC , then the length of the median throught A is

The two vectors hatj+hatk and 3hati-hatj+4hatk represent the two sides AB and AC respectively of a /_\ABC . Find the lengthof the median through A

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Show that the vector vecA = -6hati + 9hatj - 12 hatk and vec = 2 hati - 3hatj + 4hatk are parallel to each other.

If vec a=2hati+3hatj-hatk , then |vec a| is :

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find AB

Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk form the vertices of a right angled triangle.

MODERN PUBLICATION-VECTORS-Exercise
  1. If the vectors phati+hatj+hatk,hati+qhatj+hatk and hati+hatj+rhatk(p n...

    Text Solution

    |

  2. Let a,b and c be three non-zero vectors which are pairwise non-colline...

    Text Solution

    |

  3. Let veca and vecb be two unit vectors. If the vectors : vecc=veca+2vec...

    Text Solution

    |

  4. Let ABCD be a parallelogram such that AB=q, AD=p and angleBAD be an ac...

    Text Solution

    |

  5. If veca and vecb are vectors such that |veca+vecb|=sqrt(29) and vecaxx...

    Text Solution

    |

  6. If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj-4hatk are t...

    Text Solution

    |

  7. Let vec(PR)=3hati+hatj-2hatk and vec(SQ)=hati-3hatj-4hatk determine di...

    Text Solution

    |

  8. If [vecaxxvecb vecbxxvecc veccxxveca]=lambda[veca vecb vecc]^2, ...

    Text Solution

    |

  9. Let veca,vecb and vecc be three non-zero vectors such that no two of t...

    Text Solution

    |

  10. Let veca,vecb and vecc be three unit vectors such that : vecaxx(vecbxx...

    Text Solution

    |

  11. Find the values of 'x' for which x(hati+hatj+hatk) is a unit vector.

    Text Solution

    |

  12. Find the angle between the vectors hati-hatj and hatj-hatk.

    Text Solution

    |

  13. Find |vecaxxvecb| if veca=2hati+hatj+3hatk and vceb=3hati+5hatj-2hatk.

    Text Solution

    |

  14. Show that the following vectors are collinear : 2hati-3hatj+4hatk and ...

    Text Solution

    |

  15. Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4ha...

    Text Solution

    |

  16. If |veca|=a and |vecb|=b, prove that ((veca)/(a^2)-(vecb)/(b^2))^2=((v...

    Text Solution

    |

  17. If vecr=xhati+yhatj+zhatk, find : (hatrxxhati)*(hatrxxhatj)+xy.

    Text Solution

    |

  18. Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5...

    Text Solution

    |

  19. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

    Text Solution

    |

  20. Prove that : sin(A- B) = sin A cos B -cos A sin B.

    Text Solution

    |