Home
Class 12
MATHS
What is the volume of the parallelopiped...

What is the volume of the parallelopiped whose sides are given by the vectors. `hati + hatj, hatj+hatk` and `hatk+hati`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

Find the volume of the parallelopiped whose sides are given by the vectors. hati+hatj+hatk, hatk, 3hati-hatj+2hatk.

Write the volume of the parallelopiped whose sides are given by -hatj, hatk,-hati

Obtain the volume of the parallelopiped whose sides are vectors veca=2hati-3hatj+4hatk,vecb= hati+2hatj-hatk,vecc= 3hati-hatj+2hatk . Also find the vector (vecaxxvecb)xxvecc .

Determine the area of the parallelogram whose sides are the vectors 2hati + 2hatj and hati -hatk .

Determine the area of parallelogram whose adjacent sides are the vector hati+hatj, -hati+2hatj

Determine the area of parallelogram whose adjacent sides are the vector 2hati+hatj+3hatk, hati-hatj

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

Write a vector normal to hati+hatk and hati+hatj .

Find the unit vectors perpendicular to the vectors. hati+hatj , hati-hatk

SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. How many directions a null vector has ?

    Text Solution

    |

  2. If veca,vecb andvecc are three mutually perpendicular vectors, each of...

    Text Solution

    |

  3. What is the volume of the parallelopiped whose sides are given by the ...

    Text Solution

    |

  4. Write the values of m and n for which the vectors (m-1)overset^i+(n+2)...

    Text Solution

    |

  5. Show that the vectors 2hati + 3hatj,5hati -5hatk and 6hatj + 4hatk are...

    Text Solution

    |

  6. If A, B, C, D, E are the.vertices of a regular pentagon, find the vect...

    Text Solution

    |

  7. If vec(a).vec(b) = 0 and vec(a) xx vec(b) = vec(0), then draw the conc...

    Text Solution

    |

  8. Find a vector in the direction of vector 2hati-3hatj+6hatk which has m...

    Text Solution

    |

  9. Find the unit vector in the direction of the sum of the vectors veca=2...

    Text Solution

    |

  10. Write a unitvector in the direction of the sum of vectors veca=2hati-h...

    Text Solution

    |

  11. If veca =xhati+2hatj-zhatk, vecb=3hati-yhatj+2hatk are two equal vecto...

    Text Solution

    |

  12. If hata.hatb=1/2then what is the angle between hata and hatb?

    Text Solution

    |

  13. Write the value of the cosine of the angle which the vector veca =hati...

    Text Solution

    |

  14. Write a vector in the direction of the vector hati-2hatj+3hatk that ha...

    Text Solution

    |

  15. Find the value of ‘a’ such that the vector 6hati+2hatj-3hatk is perpen...

    Text Solution

    |

  16. What is the unit vector perpendicular to the vectors hati- hatj and 2h...

    Text Solution

    |

  17. What is the magnitude of 2veca xx 3veca ?

    Text Solution

    |

  18. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

    Text Solution

    |

  19. Write a vector normal to hati+hatk and hati+hatj.

    Text Solution

    |

  20. What is the angle between hati+ hatj and hati-hatj ?

    Text Solution

    |