Home
Class 12
MATHS
Show that the area of the parallelogram ...

Show that the area of the parallelogram with diagonals `veca` and `vecb`, is `1/2|vecaxxvecb|`.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

If veca=2hati-3hatj+hatk, vecb=hati+hatk, vecc=2hatj-hatk are three vectors find the area fo the parallelogram having diagonals (veca+vecb) and (vecb+vecc)

Find the area of the parallelogram having diagonals veca+vecb and vecb+vecc , where : veca=2hati-3hatj+hatk, vecb=-hati+hatk, vecc=2hatj-hatk .

Find the area of the parallelogram whose diagonals are veca=hati+2hatj+3hatk and vecb=-3hati-hatj+hatk

Find the area of the parallelogram whose diagonals are : veca=hati-2hatj+3hatk and vecb=3hati+2hatj+hatk

Find the area of the parallelogram whose diagonals are : veca=hati+2hatj+3hatk and vecb=-3hati-2hatj+hatk

Find the area of the parallelogram whose diagonals are veca=3hati-hatj-2hatk and vecb=hati+3hatj+4hatk .

Show that the area of the triangle contained between the vectors veca and vecb is one half of the magnitude of veca xx vecb .

find the area of a parallelogram whose diagonals are veca=3hati+hatj-2hatk and vecb=hati-3hatj+4hatk .

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the area of the parallelogram whose diagonals are : veca=hati-2ha...

    Text Solution

    |

  2. Find the area of the quadrilateral whose diagonals are given by 3hat...

    Text Solution

    |

  3. Show that the area of the parallelogram with diagonals veca and vecb, ...

    Text Solution

    |

  4. Show that |vecaxxvecb|=sqrt(vec(a^2)vec(b^2)-(veca*vecb)^2).

    Text Solution

    |

  5. Prove that |vecaxxvecb|/(veca*vecb)= tan theta, where theta is the ang...

    Text Solution

    |

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

    Text Solution

    |

  7. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

    Text Solution

    |

  8. Find |veca*vecb|, if |veca|=5,|vecb|=13 and |vecaxxvecb|=25.

    Text Solution

    |

  9. If |veca|=13,|vecb|=5 and veca*vecb=60, then find |vecaxxvecb|.

    Text Solution

    |

  10. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

    Text Solution

    |

  11. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

    Text Solution

    |

  12. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

    Text Solution

    |

  13. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

    Text Solution

    |

  14. If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk, then : ...

    Text Solution

    |

  15. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

    Text Solution

    |

  16. Prove that the unit vcetor perpendicular to each of the vcetors 2hati-...

    Text Solution

    |

  17. Show that the three points veca-2vecb+3vecc, 2veca+3vecb-4vecc and -7v...

    Text Solution

    |

  18. With help of vectors find the area of the triangle with vertices A(2,3...

    Text Solution

    |

  19. Find, with help of vectors, the area of the triangle with vertices : A...

    Text Solution

    |

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

    Text Solution

    |