Home
Class 12
MATHS
Find the area of atriangle having the po...

Find the area of atriangle having the points A(1,1,1), B (1,2,3) and C(2,3,1) as its vertices.

Text Solution

Verified by Experts

The correct Answer is:
The required area is `(1)/(2)sqrt(21)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|23 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 10|19 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

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

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

The mid points of the sides of a triangles are (1,5,-1),(0,4,-2) and (2,3,4). Find its vertices.

Find area of triangle with verticies A (2, 3), B (-1, 4) and C (-2, -1).

The mid-point of the sides of a triangle are (1, 5, -1), (0, 4, -2) and (2, 3, 4). Find its vertices. Also find the centriod of the triangle.

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

The mid-points of the sides of a triangle are (5, 7, 11), (0, 8, 5) and (2, 3, -1). Find its vertices.

Find the value of ‘b’ for which the points A(1, 2), B(-1, b) and C(-3, -4) are collinear .

Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, -1) are collinear.

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

KUMAR PRAKASHAN-VECTOR ALGEBRA -Textbook Illustrations for Practive Work
  1. Find |vec(a)-vec(b)|, if two vectors vec(a) and vec(b) are such that |...

    Text Solution

    |

  2. If vec(a)is a unit vector and (vec(x)-vec(a)).(vec(x)+vec(a))=8 then f...

    Text Solution

    |

  3. For any two vectors vecaandvecb , we always have |veca*vecb|le|veca||v...

    Text Solution

    |

  4. For any two vectors vec(a) and vec(b), we always have |vec(a)+vec(b)|l...

    Text Solution

    |

  5. Show that the points A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7ha...

    Text Solution

    |

  6. Find |vecaxxvecb|, if veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk

    Text Solution

    |

  7. Find a unit vector perpendicualr to each of the vectors (vec(a)+vec(b)...

    Text Solution

    |

  8. Find the area of atriangle having the points A(1,1,1), B (1,2,3) and C...

    Text Solution

    |

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

    Text Solution

    |

  10. If vec(a)=2hati+hatj+3hatk,vec(b)=-hati+2hatj+hatk and vec( c )=3hati+...

    Text Solution

    |

  11. Show that the vectors vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hat...

    Text Solution

    |

  12. If the vectors vec(a)=hati+3hatj+hatk,vec(b)=2hati-hatj-hatk and vec( ...

    Text Solution

    |

  13. If 4hati+5hatj+hatk,-(hatj+hatk),3hati+9hatj+4hatk and 4(-hati+hatj+ha...

    Text Solution

    |

  14. Prove that [vec(a)+vec(b), vec(b)+vec( c ), vec( c )+vec(a)]=2[vec(a)...

    Text Solution

    |

  15. Prove that [vec(a),vec(b),vec( c )+vec(d)]=[vec(a),vec(b),vec( c )]+[v...

    Text Solution

    |

  16. Write all the unit vectors in XY-plane.

    Text Solution

    |

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

    Text Solution

    |

  18. Let vec(a),vec(b) and vec( c ) be three vectors such that |vec(a)|=3,|...

    Text Solution

    |

  19. Three vectors vec(a),vec(b) and vec( c ) satisfy the condition vec(a...

    Text Solution

    |

  20. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |