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

If the position vectors of the vertices of a triangle are 2i - j + k, i - 3j - 5k, 3i - 4j - 4k then it is

A

equilateral triangle

B

isosceles triangle

C

right angled isosceles triangle

D

right angled triangle

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|10 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|4 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

The position vector of the centroid of the triangle formed by the points i + j + k, i - j + k, -i + j + k is

The vectors 2i - 3j + k, I - 2j + 3k, 3i + j - 2k

If a = 2i - j + k, b = 3i + 4j - k then |a xx b| =

If the position vectors of A and B are 3i - 2j + k and 2i + 4j - 3k then |vec(A)B|

If the position vectors of A, B are 2i - 9j - 4k, 6i - 3j + 8k then the unit vector in the direction of vec(A)B is

The volume of the parallelopiped whose coterminal edges are 2i - 3j + 4k, I + 2j - 2k, 3i - j + k is

The vector area of the triangle with vertices I + j + k, I + j + 2k, I + 2j + k is

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k ...

    Text Solution

    |

  2. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

    Text Solution

    |

  3. If the position vectors of the vertices of a triangle are 2i - j + k, ...

    Text Solution

    |

  4. The points (1,1 ,1 ) ,(1,2,3 ),(2-1, 1 ) form

    Text Solution

    |

  5. The points 2a + 3b + c, a + b, 6a + 11b + 5c are

    Text Solution

    |

  6. The points 2i + j + k, 6i - j + 2k, 14i - 5j + 4k are

    Text Solution

    |

  7. The points (1, 2, 3), (3, 4, 7), (-3, -2, -5) are

    Text Solution

    |

  8. If the points whose position vectors are -2i + 3j + 5k, i + 2j + 3k, l...

    Text Solution

    |

  9. The vectors 5a + 6b + 7c, 7a - 8b + 9c, 3a + 20b + 5c are

    Text Solution

    |

  10. The points - a + 4b - 3c, 3a + 2b + 5c, -3a + 8b - 5c, -3a + 2b + c ar...

    Text Solution

    |

  11. The points 2i + j - k, i + j + k, 2i + 2j + k, 2j + 5k are

    Text Solution

    |

  12. The points i + j + k, i + 2j, 2i + 2j + k, 2i + 3j + 2k are

    Text Solution

    |

  13. The points (2, -1, 3), (-1, 2, -4), (-12, -1, -3), (6, 2, -1) are

    Text Solution

    |

  14. The vectors 3a - 2b - 4c, -a + 2c, - 2a + b + 3c are

    Text Solution

    |

  15. If the vectors 2a - b + c, a + 2b - 3c, 3a + mb + 5c are linearly depe...

    Text Solution

    |

  16. If a = i + j + k, b = 4i + 3j + 4k, c = i + alpha j + beta k are linea...

    Text Solution

    |

  17. If a = i + 4j, b = 2i - 3j and c = 5i + 9j then c =

    Text Solution

    |

  18. If a = 2i - j + 3k, b = -i + 4j - 2k, c = 5i + j + 7k and xa + yb = c ...

    Text Solution

    |

  19. The linear relation between the vectors a + 3b + 4c, a - 2b + 3c, a + ...

    Text Solution

    |

  20. The values of lambda such that (x, y, z) ne (0, 0, 0) and (i + j + 3k)...

    Text Solution

    |