Home
Class 12
MATHS
Find the area of the parallelogram whose...

Find the area of the parallelogram whose adjacent sides are given by vectors `vec a= 3 hat i+ hat j+ 4 hat k` and `vec b= hat i- hat j+ hat k`.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos
  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a = hat i - hat j+ 3 hat k and vec b = 2hat i - 7hat j+ hat k

Find the unit vector in the direction of diagonal of the parallelogram whose sides are given by the vectors vec a= 2 hat i- hat j-3hat k', vec b=5 hat i+2hat j- hatk

Determine the area of the parallelogram whose adjacent sides are the vectors hat i- 3 hat j+ hat k and hat i+ hat j+ hat k .

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 hat j + hat k

Determine the area of the parallelogram whose adjacent sides are 3 hat i + hat j+4 hat k and hat i - hat j + hat k .

Find the area of the triangle whose adjacent sides are determined by the vectors vec(a)=(-2 hat(i)-5 hat(k)) and vec(b)= ( hat(i)- 2 hat(j) - hat(k)) .

Find the area of parallelogram whose adjacent sides are represented by the vectors 3hat(i)+hat(j)-2hat(k) and hat(i)-2hat(j)-hat(k) .

Find |vec a xx vec b| , if vec a = 2hat i-5 hat j+3 hat k and vec b = hat i-2 hat j +2 hat k .

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = 2 hat i- 3 hat j + 4 hat k, vec b= hat i +2 hat j- hat k and vec c = 3 hat i -hat j +2 hat k .

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the area of the parallelogram whose adjacent sides are given by v...

    Text Solution

    |

  2. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  3. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  4. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  5. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  6. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  7. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  8. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  9. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  10. Classify the following physical quantities into scalars and vectors: ...

    Text Solution

    |

  11. Find lambda in R such that |quad lambda vec a|=1, vec a being a non-ze...

    Text Solution

    |

  12. If |quad vec a|=2, find |quad 4 vec a |, |10 vec a| and |(-5 ) vec a |...

    Text Solution

    |

  13. Is it possible that |quad vec a+ vec b|= |quad vec a|+ |quad vec b|? I...

    Text Solution

    |

  14. If vec a = vec b, is it true that |quad vec a|=|quad vec b| ?

    Text Solution

    |

  15. Does |quad vec a|= |quad vec b| imply vec a= vec b?

    Text Solution

    |

  16. If A,B,C,D are the points with position vectors vec a,vec b, 3 vec a+ ...

    Text Solution

    |

  17. If vec c= 3 vec a + 4 vec b and 2 vec c = vec a- 3 vec b, show that ve...

    Text Solution

    |

  18. If the position vector of a point A is vec a + 2 vec b and vec a divi...

    Text Solution

    |

  19. If ABC is triangle and D is the mid-point of [BC], prove that vec AB +...

    Text Solution

    |

  20. If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k, ...

    Text Solution

    |

  21. If vec a = 5hat i - hat j- 2hat k and vec b =5 hat i+ hat j - 2 hat k,...

    Text Solution

    |