Home
Class 12
MATHS
Calculate the area of the triangle ABC (...

Calculate the area of the triangle ABC (by vector method) where A(1,1,2), B(2,2,3), C(3,-1,-1)

Text Solution

Verified by Experts



=`-hati+5hatj-4hatk`
Area of `triangle ABC`
=`1/2 sqrt(1+25+16) = sqrt(42)/2` sq. units.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Calculate the area of the triangle ABC (by vector method) where A(1,2,4), B(3,1,-2), C(4,3,1)

Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) and C(4,3,1) by vector method.

Find the vector from the origin O to the centroid of the triangle whose vertices are (1,-1,2),(2,1,3),and (-1,2,-1).

Write the centroid of the triangle with vertices (1,2,3), (2,1,2), (3,0,1).

Find the area of the triangle, whose vertices are (-2,-3) , (3,2) and (-1,-8)

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Determine the area of parallelogram whose adjacent sides are the vecto...

    Text Solution

    |

  2. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

    Text Solution

    |

  3. Calculate the area of the triangle ABC (by vector method) where A(1,1,...

    Text Solution

    |

  4. Determine the sine of the angle between the vectors 5hati-3hatj, 3hati...

    Text Solution

    |

  5. Determine the sine of the angle between the vectors hat-3hatj+hatk, ha...

    Text Solution

    |

  6. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

    Text Solution

    |

  7. If vecaxxvecb = vecbxxvecc ne vec0, prove that veca+vecc = mvecb, wher...

    Text Solution

    |

  8. if vec = 2hati+hatj-hatk, vecb = -hati+2hatj-4hatk, vecc = hati+hatj+h...

    Text Solution

    |

  9. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

    Text Solution

    |

  10. Find the area of the parallelogram whose diagonals are vectors 3hati+h...

    Text Solution

    |

  11. Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...

    Text Solution

    |

  12. Each question given below has four possible answers out of which only ...

    Text Solution

    |

  13. (-veca).vecbxx(-vecc)) =

    Text Solution

    |

  14. For the non-zero vectors veca, vecb and vecc, veca.(vecbxxvecc) = 0 if

    Text Solution

    |

  15. Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...

    Text Solution

    |

  16. Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...

    Text Solution

    |

  17. Find the volume of the parallelopiped whose sides are given by the vec...

    Text Solution

    |

  18. Find the volume of the Parallelepiped whose sides are given by the vec...

    Text Solution

    |

  19. Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+...

    Text Solution

    |

  20. Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati...

    Text Solution

    |