Home
Class 12
MATHS
Using vectors, find the area of the Delt...

Using vectors, find the area of the `Delta ABC`, whose vertices are A(1, 2, 3),B(2, -1, 4) and C(4, 5, -1).

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 3

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |13 Videos

  • SAMPLE PAPER 3

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |13 Videos

  • SAMPLE PAPER 2

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos

  • SAMPLE PAPER 4

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos

Similar Questions

Explore conceptually related problems

Find the area of triangle whose vertices are (1,2), (3,4),(1/2,1/4).

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

Using vector method find the area of the triangle with vertices (1, 0, 0) (0, 1, 0) and (0, 0, 1)

Find the perimeter of the triangle whose vertices are (0,1,2)(2,0,4) and (-4,-2,7).

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 ara of the triangle, whose vertices are (3,8) (-4,2) and (5,1).

ARIHANT PUBLICATION-SAMPLE PAPER 3 -SHORT ANSWER TYPE QUESTIONS
  1. If A = [{:(0,2),(3,-4):}] and KA = [{:(0, 3a),(2b, 24):}], then find v...

    Text Solution

    |

  2. Show that |{:(1,x, x ^(3)),(1,y,y ^(3)),(1,z,z^(3)):}| = (x-y) (y-z) (...

    Text Solution

    |

  3. Find the inverse of the following matrix [{:(1,3,-2),(-3,0,-1),(2,1,...

    Text Solution

    |

  4. A card from a pack of 52 playing cards is lost. From the remaining car...

    Text Solution

    |

  5. How many times must a man toss a fair coin so that the probability of ...

    Text Solution

    |

  6. If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then w...

    Text Solution

    |

  7. Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if ...

    Text Solution

    |

  8. Show that the line (x)/(a) + (y)/(b) = 1, touches the curve y = be^(-x...

    Text Solution

    |

  9. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  10. If x = 3 sin t - sin 3t, y = 3 cos t - cos 3t, find (dy)/(dx) at t = (...

    Text Solution

    |

  11. Evaluate int(2x^(3) + 3x^(2) +5x+2) dx

    Text Solution

    |

  12. Solve the following differerntial equation x (dy)/(dx) + y = x cos x +...

    Text Solution

    |

  13. Evaluate int (x ^(2) +1)/( (x +1) ^(2)) dx

    Text Solution

    |

  14. Evaluateint (cosxtan x )/((sec x + tan x )) dx

    Text Solution

    |

  15. Find the area of region included between the parabola 4y = 3x^(2) and ...

    Text Solution

    |

  16. Find the direction consines of the perpendicular from the origin to th...

    Text Solution

    |

  17. If veca and vecb are unit vectors such that vecaxxvecb is a unit vecto...

    Text Solution

    |

  18. Using vectors, find the area of the Delta ABC, whose vertices are A(1,...

    Text Solution

    |

  19. Prove that the lines x = ay + b, z = cy + d and x = a'y + b' , z= c'y ...

    Text Solution

    |

  20. If a xx b = c xx d and a xx c = b xxd , show that (a-d) is parallel to...

    Text Solution

    |