Home
Class 12
MATHS
Let vecu= hati+hatj, vecv = hati -hatj ...

Let `vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk`. If `hatn` is a unit vector such that `vecu.hatn =0 and vecv.hatn=0` then find the value of `|vecw.hatn|`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    CENGAGE|Exercise Solved Examples And Exercises|450 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Let vecu=hai+hatj,vecv=hati-hatj and vecw=hati+2hatj+3hatk . If hatn isa unit vector such that vecu.hatn=0 and vecv.hatn=0, |vecw.hatn| is equal to (A) 0 (B) 1 (C) 2 (D) 3

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatkandvecc=hati-2hatj+hatk , find a unit vector parallel to the vector 2veca-vecb+3vecc .

The value of [hati - hatj , hatj - hatk, hatk - hati] is :

If veca.veci=veca.(hati+hatj)=veca.(hati+hatj+hatk) . Then find the unit vector veca .

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hatk be three vectors . A vector in the pland of vecb and vecc whose projection on veca is of magnitude sqrt((2/3)) is (A) 2hati+3hatj+3hatk (B) 2hati+3hatj-3hatk (C) -2hati-hatj+5hatk (D) 2hati+hatj+5hatk

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

CENGAGE-VECTORS-Question Bank
  1. Vectors veca and vecb are inclined at an angle theta = 120^(@). If |ve...

    Text Solution

    |

  2. If bara and vecb are non zero, non collinear vectors, and the linear c...

    Text Solution

    |

  3. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

    Text Solution

    |

  4. Given three vectors eveca, vecb and vecc two of which are non-collinea...

    Text Solution

    |

  5. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

    Text Solution

    |

  6. If the three points with posifion vectors (1, a, b) ,(a, 2, b) and (a,...

    Text Solution

    |

  7. The number of vectors of unit length perpendicular to vectors vec ...

    Text Solution

    |

  8. If bara, vecb are any two perpendicular vectors of equal magnitude and...

    Text Solution

    |

  9. The perpendicular distance of the point whose position vector is (1,3,...

    Text Solution

    |

  10. If two sides of a triangle A B C are represented by vectors veca and (...

    Text Solution

    |

  11. If |veca|=|vecb|=|vecc|=2 and veca.vecb=vecb.vecc=vecc xx veca=2, then...

    Text Solution

    |

  12. Let veca=-hati+hatj+hatk, vecb=2 hati+hatk and vector vecc satisfying ...

    Text Solution

    |

  13. If three points (2 vecp-vecq+3 vecr),(vecp-2 vecq+alpha vecr) and (bet...

    Text Solution

    |

  14. If |vecalpha|=|vecbeta|=|vecalpha+vecbeta|=4, then the value of |vecal...

    Text Solution

    |

  15. Let a, b, c in R and alpha, beta are the real roots of the equation ax...

    Text Solution

    |

  16. Let veca and vecb be two unit vectors then maximum value of(|veca+vecb...

    Text Solution

    |

  17. If the vectors (1-x) hati+hatj+hatk, hati+(I-y) hatj+hatk and hati+hat...

    Text Solution

    |

  18. If veca=hati+hatj+hatk,hatb=hati-hatj+hatk,vecc=hati+2hatj-hatk, then ...

    Text Solution

    |

  19. The sum of all possible real values of ' a ' for which vectors vecr1=...

    Text Solution

    |

  20. If bara=3 hati-hatj+hatk , vecb=2 hati-3 hatj-hatk , vecc and vecd=2 h...

    Text Solution

    |