Home
Class 12
MATHS
If the position vectors of the vertices ...

If the position vectors of the vertices of a triangle of a triangle are `2 hati - hatj + hatk , hati - 3 hatj - 5 hatk and 3 hati -4 hatj - 4 hatk ,` then the triangle is

A

equilateral

B

isosceles

C

right angled but not isosceles

D

right angled

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

If the position vectors of the vertices of a triangle be 2hati+4hatj-hatk,4hati+5hatj+hatk and 3 hati+6hatj-3hatk , then the triangle is

Let ABC be a triangle, the position vectors of whose vertices are respectively 7 hatj + 10 hatk , -hati + 6 hat j + 6 hatk and -4 hati + 9 hatj + 6 hat k . " Then, " Delta ABC is

The position vectors of the vertices A,B and C of a triangle are hati-hatj-3hatk,2hati+hatj-2hatk and -5hati+2hatj-6hatk , respectively. The length of the bisector AD of the angleBAC , where D is on the segment BC, is

The position vectors of vertices of a DeltaABC are 4hati - 2 hatj , hati + 4hatj - 3hatk and -hati + 5hatj + hatk respectively , then angleABC is equal to

Find the perimeter of a triangle with sides 3hati+4hatj+5hatk,4hati-3hatj-5hatk and 7 hati+hatj .

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

    |