Home
Class 12
MATHS
Find the unit vectors perpendicular to t...

Find the unit vectors perpendicular to the vectors.
`2hati-3hatj+hatk`, `-hati+2hatj-hatk`.

Text Solution

Verified by Experts


=`hati(3-2)-hatj(-2+1)+hatk(4-3)`
= `hati+hatj+hatk`
`|vecaxxvecb| = sqrt3`
If `hatn` is the unit vector perpendicular to `veca` and `vecb` then.
`hatn = +-(vecaxxvecb)/|vecaxxvecb| = +-(hati+hatj+hatk)/sqrt3`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Find the unit vectors perpendicular to the vectors. hati , hatk

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

Find the unit vectors perpendicular to the vectors. 2hati+3hatk , hati-2hatj

What is the unit vector perpendicular to the vectors hati- hatj and 2hati-3hatj ?

A vector perpendicular to the vectors hati+hatj and hati+hatk is ____

Find the scalar components of a unit vector which is perpendicular to the vectors hati+2hatj-hatk and 3hati-hatj+2hatk .

Find a unit vector perpendicular to the following two vectors veca =2hati+3hatj+6hatk and vecb = 3 hati-6 hatj+2 hatk

Find the direction cosines of the unit vector perpendicular to the plane vecr.(2hati+3hatj-6hatk)-21=0 , through the origin.

Find the value of lambda so that three vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-3 hatk and vecc= 3hati +lambda vecj+5 hatk are coplanar.

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Find the unit vectors perpendicular to the vectors. hati+hatj, hati-ha...

    Text Solution

    |

  2. Find the unit vectors perpendicular to the vectors. 2hati+3hatk, hati-...

    Text Solution

    |

  3. Find the unit vectors perpendicular to the vectors. 2hati-3hatj+hatk,...

    Text Solution

    |

  4. Determine the area of parallelogram whose adjacent sides are the vecto...

    Text Solution

    |

  5. Determine the area of parallelogram whose adjacent sides are the vecto...

    Text Solution

    |

  6. Determine the area of parallelogram whose adjacent sides are the vecto...

    Text Solution

    |

  7. Determine the area of parallelogram whose adjacent sides are the vecto...

    Text Solution

    |

  8. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

    Text Solution

    |

  9. Calculate the area of the triangle ABC (by vector method) where A(1,1,...

    Text Solution

    |

  10. Determine the sine of the angle between the vectors 5hati-3hatj, 3hati...

    Text Solution

    |

  11. Determine the sine of the angle between the vectors hat-3hatj+hatk, ha...

    Text Solution

    |

  12. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

    Text Solution

    |

  13. If vecaxxvecb = vecbxxvecc ne vec0, prove that veca+vecc = mvecb, wher...

    Text Solution

    |

  14. if vec = 2hati+hatj-hatk, vecb = -hati+2hatj-4hatk, vecc = hati+hatj+h...

    Text Solution

    |

  15. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

    Text Solution

    |

  16. Find the area of the parallelogram whose diagonals are vectors 3hati+h...

    Text Solution

    |

  17. Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...

    Text Solution

    |

  18. Each question given below has four possible answers out of which only ...

    Text Solution

    |

  19. (-veca).vecbxx(-vecc)) =

    Text Solution

    |

  20. For the non-zero vectors veca, vecb and vecc, veca.(vecbxxvecc) = 0 if

    Text Solution

    |