Home
Class 12
MATHS
The area of the triangle with vertices (...

The area of the triangle with vertices (1,2,3), (2,5,-1), (-1,1,2) is

A

6 sq. unit

B

`sqrt(3//2)` sq. unit

C

`sqrt(29)` sq. unit

D

`(1)/(2) sqrt(155)` sq. unit

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C (Triple product of Vectors|112 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -A|13 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1A|50 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

Similar Questions

Explore conceptually related problems

Assertion (A): The area of the triangle with vertices (1,2,3), (2, 5, -1) and (-1, 1, 2) is (1)/(2) sqrt155 sq units. Reason (R ): The area of the triangle with vertices vec(a), vec(b), vec(c ) is (1)/(2) |vec(a) xx vec(b) + vec(b) xx vec(c ) + vec(c ) xx vec(a)| Which of the following is correct ?

If the area of the triangle whose vertices are A(1, 2, 3), B(2, -1, 1) and C(1, 2, -4) is lambda sq unit then (2lambda)/(sqrt(10)) must be

The area of the triangle with vertices at (-4, -1), (1, 2), (4, -3) is

Find the area of the tirangle with vertices A (1,1,2),B (2,3,5) and C(1,5,5).

The are of the triangle whose vertices are (1,1,1) (1,2,3), (2,0,1) is

The circumcentre of a triangle with vertices (-2, 3), (2, -1), (4, 0) is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. The vector area of the triangle with vertices I + j + k, I + j + 2k, I...

    Text Solution

    |

  2. The area of the triangle formed by the points whose position vectors a...

    Text Solution

    |

  3. The area of the triangle with vertices (1,2,3), (2,5,-1), (-1,1,2) is

    Text Solution

    |

  4. The vector area of the Delta ABC whose vertices are a,b,c is

    Text Solution

    |

  5. If a,b,c are the position vectors of A,B,C of Delta ABC then (a xx b) ...

    Text Solution

    |

  6. If |vec(a)|=sqrt3, |vec(b)|=2, (vec(a), vec(b))= (pi)/(3), then the ar...

    Text Solution

    |

  7. If the area of the parallelogram whose adjacent sides are 3 vec(i) - 4...

    Text Solution

    |

  8. If a = 2i + 2j + k, a.b = 14, a xx b = 3i + j - 8k then b =

    Text Solution

    |

  9. If a = (1,1,1) c = (0,1, -1) are given vectors then a vector b satisfy...

    Text Solution

    |

  10. If a = 2i + k, b = I + j + k, c = 4i - 3j + 7k. The vector r satisfyin...

    Text Solution

    |

  11. The vector c is perpendicular to both a = (1, -2, -1), b = (2, 1, -1) ...

    Text Solution

    |

  12. If a,b are two unit perpendicular vectors and c is a unit vector which...

    Text Solution

    |

  13. If a = I + 2j + 3k, b = -I + 2j + k, c = 3i + j and d is normal to bot...

    Text Solution

    |

  14. If x.a = 0, x xx b = c xx b then x =

    Text Solution

    |

  15. r xx a = b xx a, r xx b = a xx b, r xx b = a xx b, != 0, b != 0, a != ...

    Text Solution

    |

  16. Let a = I + j, b = 2i - k. Then the point of intersection of the lines...

    Text Solution

    |

  17. The perpendicular distance from A (1,4, -2) to the line BC, where B = ...

    Text Solution

    |

  18. The perpendicular distance from the point 3i - 2j + k to the line join...

    Text Solution

    |

  19. If A (1,2,3), B (2,3,1), C (3,1,2) then the length of the altitude thr...

    Text Solution

    |

  20. The torque about the point 2i + j - K of a force represented by 4i + k...

    Text Solution

    |