Home
Class 12
MATHS
If veca=hati-2hatj+3hatk and vecb=2hati+...

If `veca=hati-2hatj+3hatk` and `vecb=2hati+3hatj-5hatk`, find `vecaxxvecb` and verify that `veca` and `vecaxxvecb` are perpendicular to the vectors : `hati-2hatj+3hatk,hati+2hatj-hatk`.

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=hati-2hatj+3hatk and vecb=2hati+3hatj-5hatk , find vecaxxvecb and verify that veca and vecaxxvecb are perpendicular to the vectors : 3hati-2hatj+hatk,hati-2hatj-3hatk .

If veca=hati-hatj+3hatk and vecb=2hati+3hatj-5hatk then find vecaxxvecb . Verify that veca and vecaxxvecb are perpendicular to each other.

If veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk , then find |\vecaxxvecb| .

If veca = hati-hatj+hatk , vecb = 2hati-3hatj+hatk , then find |2vecaxxvecb|

If veca =3hati-2hatj+hatk,vecb=2hati-4hatj-3hatk , find |veca-2vecb| .

If veca=hati+3hatj+hatk , vecb=hati+hatj-hatk then find |vecaxx2vecb| .

If veca=2hati+3hatj-5hatk and vecb=hati+hatj-hatk , then veca*vecb is :

If veca=2hati+3hatj-5hatk and vecb=hati+hatj-hatk , then veca*vecb is :

If veca=3hati-hatj+2hatk and vecb=2hati+3hatj+3hatk then veca.vecb is equal to :

If veca=2hati+hatj+7hatk and vecb=5hati-3hatj+10hatk , then veca*vecb is :

MODERN PUBLICATION-VECTORS-Exercise
  1. Prove that vecaxxvecb ne vecb xx veca if : veca=2hati-3hatj-hatk and v...

    Text Solution

    |

  2. Find a vector perpendicular to both : veca=3hati-2hatj+hatk and vecb=h...

    Text Solution

    |

  3. If veca=hati-2hatj+3hatk and vecb=2hati+3hatj-5hatk, find vecaxxvecb a...

    Text Solution

    |

  4. If veca=hati-2hatj+3hatk and vecb=2hati+3hatj-5hatk, find vecaxxvecb a...

    Text Solution

    |

  5. Find a unit vector perpendicular to the plane containing the vectors :...

    Text Solution

    |

  6. Find a unit vector in the plane of vectors : veca=hati+2hatj and vecb=...

    Text Solution

    |

  7. If veca=3hati-hatj+2hatk and vecb=-hati-2hatj+4hatk, find a unit vecto...

    Text Solution

    |

  8. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

    Text Solution

    |

  9. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

    Text Solution

    |

  10. Find a vector of magnitude 9, which is perpendicular to both the vecto...

    Text Solution

    |

  11. If vec a and vec b are unit vectors and theta is the angle between the...

    Text Solution

    |

  12. Determine the area of the parallelogram whose adjacent sides are 2 hat...

    Text Solution

    |

  13. determine the area of the parallelogram whose adjacent sides are : 2ha...

    Text Solution

    |

  14. Find the area of a parallelogram whose adjacent sides are : 3hati+ha...

    Text Solution

    |

  15. determine the area of the parallelogram whose adjacent sides are : hat...

    Text Solution

    |

  16. determine the area of the parallelogram whose adjacent sides are : hat...

    Text Solution

    |

  17. Find the area of the parallelogram whose diagonals are : veca=hati-2ha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |