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

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

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 ENGLISH|Exercise Exercise|30 Videos
  • ALGEBRAIC INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|39 Videos

Similar Questions

Explore conceptually related problems

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(PQ)=-3hati+4hatj+4hatk and vec(PR)=5hati-2hatj+4hatk are the sides of a triangle PQR, then the length o the median through P is (A) sqrt(14) (B) sqrt(15) (C) sqrt(17) (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 vecF = 3hati + 4hatj+5hatk and vecS=6hati +2hatj+5hatk , the find the work done.

If vecF=3hati-4hatj+5hatk " and " vecS=6hati+2hatj+5hatk , the find the work done.

Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the position vectors of the points A and B Then the distance of the point hati+hatj+hatk from the plane passing through B and perpendicular to AB is (a) 5 (b) 10 (c) 15 (d) 20

Given two vectors veca=-hati + 2hatj + 2hatk and vecb =- 2hati + hatj + 2hatk find |vec a xx vec b|

If vec a =hati +3hatj , vecb = 2hati -hatj - hatk and vec c =mhati +7 hatj +3hatk are coplanar then find the value of m.

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

If vec(OA)=2hati-hatj+hatk, vec(OB)=hati-3hatj-5hatk and vec(OC)=3hati-3hatj-3hatk then show that CB is perpendicular to AC.

OBJECTIVE RD SHARMA ENGLISH-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. If vectors vec(AB) = -3hati+ 4hatk and vec(AC) = 5hati -2hatj+4hatk ar...

    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 parallelogrma with vec( OC) = vec(a) and vec( AB) = vec(...

    Text Solution

    |

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

    Text Solution

    |

  11. If ABCDEF is regular hexagon, then AD+EB+FC is

    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 A B C D and O...

    Text Solution

    |

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

    Text Solution

    |

  18. In a regular hexagon A B C D E F ,\ A vec B=a ,\ B vec C= vec b\ a n d...

    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

    |