Home
Class 12
MATHS
If the vectors AB = -3i + 4k and AC = 5i...

If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a triangle ABC, then the length of the median through A is

A

`sqrt14`

B

`sqrt18`

C

`sqrt25`

D

`sqrt29`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SIA PUBLICATION|Exercise PROBLEMS|59 Videos

Similar Questions

Explore conceptually related problems

The vectors of bar(AB)=3bar(i)+4bar(k) and bar(AC)=5bar(i)-2bar(j)+4bar(k) are the sides of a triangle ABC. The length of the median through A is

If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + j + 15k respectively then the length of the median through A is

The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides of a parallelogram. The angle between its diagonals is

If the vectors AB = hat(i) + 3 hat(j) + 4 hat(k) , AC = 5 hat(i) + hat(j) + 2 hat(k) are two sides of a triangle ABC, whose centroid is G, then |AG|=

If 2i + 3j - 6k, 6i - 2j + 3k, 3i - 6j - 2k represent the sides of a triangle then the perimeter of the triangle is

If vectors vec(A) = hat(i) + 2hat(j) + 4hat(k) and vec(B) = 5 hat(i) represent the two sides of a triangle, then the third side of the triangle can have length equal to:

If P = 2i + 3j - 4k and Q = 5i + 2j + 4k find the angle between the two vectors

If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of the points of trisection are

If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar then x =

SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
  1. If the vectors i-2xj-2yk and i+3xj+2yk are orthogonal to each other, t...

    Text Solution

    |

  2. For any vector vecr. I xx (vecr xx i)+j xx (vecr xx j) + xx (vecr+xx...

    Text Solution

    |

  3. If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...

    Text Solution

    |

  4. If |a| = 1, |b| = 2 and the angle between a and b is 120, then {(a + 3...

    Text Solution

    |

  5. Let v = 2i + j - k and w = I + 3k. If u is unit vector. Then the maxim...

    Text Solution

    |

  6. Let veca=hati-2hatj+3hatk, vecb=2hati+3hatj-hatk and vecc=lambda hati+...

    Text Solution

    |

  7. If three unit vectors veca, vecb, vecc" satisfy "overset(-)a+overset(-...

    Text Solution

    |

  8. (overset(-)a+2overset(-)b-overset(-)c) (overset(-)a-overset(-)b) xx (o...

    Text Solution

    |

  9. If overset(-)u=overset(-)a-overset(-)b, overset(-)v=overset(-)a+overse...

    Text Solution

    |

  10. If the angle theta between the vectors veca=2x^(2)hati+4xhatj+hatk and...

    Text Solution

    |

  11. Let OA, OB, OC be the co-terminal edges of a rectangular parallelopipe...

    Text Solution

    |

  12. In a quadrilateral ABCD, the point P divides DC in the ratio 1:2 and Q...

    Text Solution

    |

  13. If veca=-hati+hatj+2hatk, vecb=2hati-hatj-hatk and vecc=-2hati+hatj+3h...

    Text Solution

    |

  14. If m(1),m(2), m(3), m(4) are respetively the magnitudes of the vectors...

    Text Solution

    |

  15. Suppose veca=lambda hati-7 hatj+3hatk, overset(-)b=lambda hati+hatj+2l...

    Text Solution

    |

  16. The volume of the tetrahedron having the edes hati+2hatj-hatk, hati+ha...

    Text Solution

    |

  17. The position vectors of P and Q are respectively a and b. If R is a po...

    Text Solution

    |

  18. If the points with position vectors 60hati+3j, 40hati-8hatj and ahati-...

    Text Solution

    |

  19. If the points vectors of A,B and C are respectively 2hati-hatk+hatk, h...

    Text Solution

    |

  20. If veca=hati+hatk, hatk, overset(-)b=hati-hatj+hatk, overset(-)c=hati+...

    Text Solution

    |