Home
Class 12
MATHS
Find a unit vector perpendicular to each...

Find a unit vector perpendicular to each of the vectors `(veca+vecb)` and `(veca-vecb)`, where : `veca=hati+hatj+hatk` and `vecb=hati+2hatj+3hatk`.

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

Find a vector of magnitude 5 units, perpendicular to each of the vectors (veca+vecb) and (veca-vecb) where veca=hati+hatj+hatk and vecb=hati+2hatj+3hatk

Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+hatk and 'vecb=2hati+hatj-3hatk'

Find the scalar projection of vecb on veca where : veca=2hati-2hatj+hatk and vecb=-hati-2hatj+4hatk

MODERN PUBLICATION-VECTORS-Exercise
  1. If veca=3hati-hatj+2hatk and vecb=-hati-2hatj+4hatk, find a unit vecto...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Prove that |vecaxxvecb|/(veca*vecb)= tan theta, where theta is the ang...

    Text Solution

    |

  16. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb).

    Text Solution

    |

  17. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

    Text Solution

    |

  18. Find |veca*vecb|, if |veca|=5,|vecb|=13 and |vecaxxvecb|=25.

    Text Solution

    |

  19. If |veca|=13,|vecb|=5 and veca*vecb=60, then find |vecaxxvecb|.

    Text Solution

    |

  20. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

    Text Solution

    |