Home
Class 12
MATHS
Consider the triangle ABC with vertices ...

Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1).Hence find the area of the triangle.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1) Find vec(AB) and vec(AC) .

Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1).Find vec(AB)timesvec(AC) .

Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) Find the area of the triangle ABC.

Consider the triangle with vertices (0,7,-10) , (1,6,-6) and (4,9,-6) Find the centroid of the triangle.

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

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

Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) Find angleA .

Consider a triangle ABC with vertics A (2,5),B (-4,9) and C (-2,-1) Find the equations of the medians of the triangle

Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) Find vec(AB) and vec(AC) .

Consider triangle ABC with vertices A(0,06),B(0,4,0) and C(6,0,0).(i)Find the centroid of triangle ABC .

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-...

    Text Solution

    |

  2. Find a unit vector perpendicular to each of the vectors (veca +vecb) a...

    Text Solution

    |

  3. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

    Text Solution

    |

  4. Find the area of a parallelogram whose adjacent sides are given by the...

    Text Solution

    |

  5. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

    Text Solution

    |

  6. Find a unit vector perpendicular to each of the vector veca+vecb, and ...

    Text Solution

    |

  7. Choose the correct answer from the backet. If a unit vector hata makes...

    Text Solution

    |

  8. Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

    Text Solution

    |

  9. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

    Text Solution

    |

  10. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

    Text Solution

    |

  11. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

    Text Solution

    |

  12. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  15. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

    Text Solution

    |

  16. Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...

    Text Solution

    |

  17. If hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk and hati-6 hatj...

    Text Solution

    |

  18. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

    Text Solution

    |

  19. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

    Text Solution

    |

  20. Write down a unit vector in XY plane making an angle of 30^@ with the...

    Text Solution

    |