Home
Class 12
MATHS
The area of triangle having adjacent sid...

The area of triangle having adjacent sides `veca` and `vecb` is :

A

`1/2|veca xx vecb|`

B

`|veca xx vecb|`

C

`1/2|veca .vecb|`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTION FROM MISCELLANEOUS EXERCISE |10 Videos

  • THREE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise Questions |72 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle whose adjacent sides are : veca=3hati+hatj+4hatk and vecb=hati-hatj+hatk is :

Find the area of the triangle having all side equal to 8.

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

Find the area of parallelogram whose adjacent sidesa are given by the vector veca=2hati+4hatj-hatk and vecb=hati-hatj+hatk .

Find the area of parallelogram whose adjacent sides are given by the vectors : veca=3hati+hatj+4hatk and vecb=hati-hatj+hatk .

OMEGA PUBLICATION-VECTOR ALGEBRA -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

    Text Solution

    |

  2. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

    Text Solution

    |

  3. If theta is the angle between two vectors veca and vecb, then veca c...

    Text Solution

    |

  4. Let veca and vecb be two unit vectors and theta is the angle between t...

    Text Solution

    |

  5. If (hati,hatj,hatk) are the usual three perpendicular unit vectors, th...

    Text Solution

    |

  6. Using vectors, find the area of the triangle having vertices A (1, 1, ...

    Text Solution

    |

  7. the angle between vectors veca × vecb and vecb × veca is

    Text Solution

    |

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

    Text Solution

    |

  9. The area of triangle having adjacent sides veca and vecb is :

    Text Solution

    |

  10. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

    Text Solution

    |

  11. If theta is the angle between two vectors veca and vecb, then |veca*ve...

    Text Solution

    |

  12. If veca*vecb=-|veca||vecb|, then theta=

    Text Solution

    |

  13. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

    Text Solution

    |

  14. The product of veca.vecb equals to:

    Text Solution

    |

  15. The product of veca.vecb equals to:

    Text Solution

    |

  16. The vectors a and b are perpendicular, if

    Text Solution

    |

  17. If veca xx vecb=|veca||vecb| sin theta hatn which one is correct

    Text Solution

    |

  18. Find the angle between two vectors vecaand vecb with magnitudes 1 and ...

    Text Solution

    |

  19. Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati...

    Text Solution

    |

  20. Find the area of parallelogram whose adjacent sides are given by the v...

    Text Solution

    |