Home
Class 12
MATHS
In a Delta ABC, if vec(AB) = 3 hati + 4 ...

In a `Delta` ABC, if `vec(AB) = 3 hati + 4 hatk, vec(AC) = 5 hati + 2 hatj + 4hatk ,` then the length of median through A , is

A

`3sqrt(2)`

B

`6sqrt(2)`

C

`5sqrt(2)`

D

`sqrt(33)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF VECTORS

    OBJECTIVE RD SHARMA|Exercise Exercise|30 Videos
  • ALGEBRAIC INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|39 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC, " if " vec(AB) = hati - 7hatj + hatk and vec(BC) = 3 hatj + hatj + 2 hatk, " then " | vec(CA)|=

The vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the sides of a triangle ABC. The length of the median through A is (A) sqrt(72) (B) sqrt(33) (C) sqrt(2880 (D) sqrt(18)

The vector vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are sides of a triangle ABC. The length of the median through A is (A) sqrt(18) (B) sqrt(72) (C) sqrt(33) (D) sqrt(288)

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(33) (B) sqrt(45) (C) sqrt(18) (D) sqrt(720

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(18) (B) sqrt(72) (C) sqrt(33) (D) sqrt(45)

If vec(A) = hati + 3hatj + 2hatk and vec(B) = 3hati + hatj + 2hatk , then find the vector product vec(A) xx vec(B) .

OBJECTIVE RD SHARMA-ALGEBRA OF VECTORS-Chapter Test
  1. In a quadrilateral ABCD, vec(AB) + vec(DC) =

    Text Solution

    |

  2. If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) +...

    Text Solution

    |

  3. If ABCD is a parallelogram, then vec(AC) - vec(BD) =

    Text Solution

    |

  4. In a Delta ABC, " if " vec(AB) = hati - 7hatj + hatk and vec(BC) = 3 ...

    Text Solution

    |

  5. In a Delta ABC, if vec(AB) = 3 hati + 4 hatk, vec(AC) = 5 hati + 2 hat...

    Text Solution

    |

  6. The position vectors of P and Q are respectively vec a and vec b . If ...

    Text Solution

    |

  7. If the points whose position vectors are 2hati + hatj + hatk , 6hati -...

    Text Solution

    |

  8. The ratio in which hati + 2 hatj + 3 hatk divides the join of -2hati ...

    Text Solution

    |

  9. If OACB is a parallelogramwith vec(OC) = vec a and vec (AB) = vec b...

    Text Solution

    |

  10. The position vectors of the points A, B, C are 2 hati + hatj - hatk , ...

    Text Solution

    |

  11. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

    Text Solution

    |

  12. If the points with position vectors 20 hati + p hatj , 5 hati - hat...

    Text Solution

    |

  13. If the position vector of a point A is vec a + 2 vec b and vec a divi...

    Text Solution

    |

  14. If vec a ,\ vec b ,\ vec c and vec d are the position vectors of p...

    Text Solution

    |

  15. Let G be the centroid of Delta ABC , If vec(AB) = vec a , vec(AC) = v...

    Text Solution

    |

  16. If G is the intersection of diagonals of a parallelogram ABCD and O is...

    Text Solution

    |

  17. The vector cos alpha cos beta hati + cos alpha sin beta hatj + sin a...

    Text Solution

    |

  18. In a regular hexagon ABCDEF, vecAB=a, vecBC=b and vecCD = c. Then, vec...

    Text Solution

    |

  19. If three points A, B and C have position vectors hati + x hatj + 3 ha...

    Text Solution

    |

  20. If the position vectors of the vertices of a triangle of a triangle ar...

    Text Solution

    |