Home
Class 12
MATHS
Show that the asreas of the parallelogra...

Show that the asreas of the parallelogram having diagonals `3hati+hatj-2hastk andhati-3hatj+4hatk is 5sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
`5 sqrt3` sq. units
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CBSE COMPLEMENTARY MATERIAL|Exercise TWO MARKS QUESTIONS|11 Videos
  • VECTORS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARKS QUESTIONS|35 Videos
  • THREE DIMENSIONAL GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

Show that the asreas of the parallelogram having diagonals 3hati+hatj-2hatk and hati-3hatj+4hatk is 5sqrt(3)

Find the area of the parallelogram having diagonals 2hati-hatj+hatk and 3hati+3hatj-hatk

Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati-3hatj+4hatk will be:

Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati-3hatj+4hatk will be :

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

The area of the parallelogram whose diagonals are the vectors hati+3hatj- 2hatk and 3hati+hatj-4hatk

Show that area of the parallelogram whose diagonals are given by veca and vecb is (|veca xx vecb|)/2 . Also, find the area of the parallelogram, whose diagonals are 2hati - hatj + hatk and hati + 3hatj - hatk .

Show that (veca+vecb)xx(veca-vecb)=-2(vecaxxvecb) and use this result to find the area of a parallelogram whose diagonals are hati-2hatj-3hatk and 2hati-3hatj+2hatk

Determine the area of a parallelogram whose diagonals are given by vectors 3hati+2hatj-7hatk and 5hati+6hatj-3hatk .

CBSE COMPLEMENTARY MATERIAL-VECTORS -FOUR MARKS QUESTIONS
  1. Show that the asreas of the parallelogram having diagonals 3hati+hatj-...

    Text Solution

    |

  2. The points A,B and C with position vectors 3 hati - y hatj + 2hatk, 5 ...

    Text Solution

    |

  3. If the sum of two unit vectors is a unit vector, prove that the mag...

    Text Solution

    |

  4. Let veca = 4hati + 5hatj - hatk, vecb = hati- 4 hatj + 5 hatk and vec ...

    Text Solution

    |

  5. If hata and hatb are unit vectors inclined at an angle theta then prov...

    Text Solution

    |

  6. If hata and hatb are unit vectors inclined at an angle theta then prov...

    Text Solution

    |

  7. If veca,vecb,vecc are mutually perpendicular vectors of equal magnitud...

    Text Solution

    |

  8. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

    Text Solution

    |

  9. Show that (veca xx vecb)^(2) = |veca| ^(2) |vecb|^(2) - (veca.vecb)^(2...

    Text Solution

    |

  10. If veca, vecb and vecc are the position vectors of vertices A,B,C of a...

    Text Solution

    |

  11. Let veca , vecb , vecc be unit vectors such that veca .vecb =0=veca....

    Text Solution

    |

  12. if veca + vecb + vecc=0, then show that veca xx vecb = vecb xx vecc = ...

    Text Solution

    |

  13. If veca = hati + hatj + hatk, vecc = hatj - hatk are given vectors, th...

    Text Solution

    |

  14. Let, veca , vecb and vecc be three non zero vectors such that vecc is ...

    Text Solution

    |

  15. If the vectors vecalpha = a hati + hatj + hatk, vecbeta = hati + b hat...

    Text Solution

    |

  16. Find the altitude of a parallelepiped determined by the vectors veca, ...

    Text Solution

    |

  17. Prove that the four points (4hati + 5 hatj+hatk), - (hatj +hatk),(3hat...

    Text Solution

    |

  18. If |veca| =3, |vecb|=4 and |vecc|=5 such that each is perpendicular to...

    Text Solution

    |

  19. Decompose the vector 6 hati - 3 hatj - 6 hatk into vectors which are p...

    Text Solution

    |

  20. If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, v...

    Text Solution

    |

  21. If veca, vecb and vecc are three non zero vectors such that veca xx v...

    Text Solution

    |