Home
Class 12
MATHS
The vector area of the Delta ABC whose v...

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

A

`{(a xx b) + (b xx c) + (c xx a)}`

B

`(1)/(2) {(a xx b) + (b xx c) + (c xx a)}`

C

`2 {(a xx b) - (b xx c) + (c xx a)}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

The area of the triangle whose vertices are (b,c), c,a) and (a,b) is Delta and the area of the trangle whose vertice are (ac-b^2,ab-c^2), (ab-c^2,bc-a^2) and bc-a^2,ac-b^2) " is " Delta' .If a,b,c represents the sides of a triangle of primeter 16 them ((Delta')/Delta)^(1/8) is equal to

The midpoint of the line segment joining the centroid and the othocentre of the triangle whose vertices are (a, b), (a, c) and (d, c) is

If the area of Delta ABC with sides a,b,c is Delta, then the area of the triangles whose sides are ak, bk, ck is

If the area of the triangle whose vertices are (b, c) (c, a) (a, b) is p then the area of the triangle whose vertices (ac-b^(2), ab-c^(2))(ab-c^(2), bc-a^(2)) and (bc-a^(2), ac-b^(2)) is

The midpoint of the line segment joining the centroid and the orthocentre of the triangle whose vertices are (a,b), (a,c) and (d,c) is

Find the circumcentre of the triangle whose vertices are A(1,0),B(-1,2) and C(3,2)

Find the incentre of the triangle, whose vertices are A(3,2) B(7,2) and C(7,5).

If p_1 ,p_2,p_3 are the lengths of altitudes of Delta ABC from the vertices and Delta is the area of Delta ABC " then " (1)/(p_1) +(1)/(p_2) - (1)/( p_3) =

Find the centroid of triangle ABC whose vertices are A(-5,6) B(4,1)C(1,2).

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. The area of the triangle formed by the points whose position vectors a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A force F = 2i - lambdaj + 5k is applied at the point A (1,2,5). If it...

    Text Solution

    |