Home
Class 12
MATHS
If veca=hati+hatj-hatk, vecb=hati-hatj+h...

If `veca=hati+hatj-hatk, vecb=hati-hatj+hatk` and `vecc` is a unit vector perpendiculr to the vector `veca` and coplanar with `veca` and `vecb`, then a unit vector `vecd` perpendicular to both `veca` and `vecc` is

A

`1/(sqrt(6))(2hati-hatj+hatjk)`

B

`1/(sqrt(2))(hatj+hatk)`

C

`1/(sqrt(2))(hati+hatj)`

D

`1/(sqrt(2))(hati+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
B

NA
Promotional Banner

Topper's Solved these Questions

  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • SCALER AND VECTOR PRODUCTS OF TWO VECTORS

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|12 Videos

Similar Questions

Explore conceptually related problems

If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vector bot to the vector veca and coplanar with veca and vecb , then a unit vector vecd is perpendicular to both veca and vecc is:

Let veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc be a unit vector perpendicular to veca and coplanar with veca and vecb , then it is given by

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

If veca=hati+2hatj-hatk and vecb=3hati+hatj-hatk find a unit vector int direction of veca-vecb .

If veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk , then a unit vector normal to the vectors veca + vecb and vecb -vecc , is

If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati , a unit vector parallel to veca+vecb+vecc .

Let veca=hati-hatj, vecb=hati-hatk and vecc=7hati-hatk. Find a vector hatd which is perpendicular to vectors veca and vecb and satisfies the condition vecc.vecd =1.

Find a unit vectro perpendicular to the plane of two vectors veca and vecb where veca=hati-hatj and vecb=hatj+hatk

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If veca,vecb,vecc and vecp,vecq,vecr are reciprocal system of vectors,...

    Text Solution

    |

  2. vecaxx(vecaxx(vecaxxvecb)) equals

    Text Solution

    |

  3. If veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc is a unit vector ...

    Text Solution

    |

  4. If veca, vecb, vecc are non-coplanar unit vectors such that vecaxx(vec...

    Text Solution

    |

  5. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

    Text Solution

    |

  6. If vecaxxvecb=vecc and vecbxxvecc=veca then a. veca,vecb,vecc are ort...

    Text Solution

    |

  7. If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,ve...

    Text Solution

    |

  8. If vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,veca!=0,vecb!=0,veca!=l...

    Text Solution

    |

  9. The vector veca coplanar with the vectors hati and hatj perendicular t...

    Text Solution

    |

  10. If the vectors veca and vecb are mutually perpendicular, then vecaxx{v...

    Text Solution

    |

  11. [((vecaxxvecb)xx(vecbxxvecc),(vecbxxvecc)xx(veccxxveca),(veccxxveca)xx...

    Text Solution

    |

  12. Let veca=hati-hatj,vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit v...

    Text Solution

    |

  13. If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati...

    Text Solution

    |

  14. hata and hatb are two mutually perpendicular unit vectors. If the vect...

    Text Solution

    |

  15. If three concurrent edges of a parallelopiped of volume V represent ve...

    Text Solution

    |

  16. If veca=hati+hatj+hatk, vecb=hati+hatj,vecc=hati and (vecaxxvecb)xxvec...

    Text Solution

    |

  17. If veca=2hati-3hatj+5hatk , vecb=3hati-4hatj+5hatk and vecc=5hati-3hat...

    Text Solution

    |

  18. If veca,vecb,vecc are linearly independent vectors, then ((veca+2vecb)...

    Text Solution

    |

  19. If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[...

    Text Solution

    |

  20. If [(2veca+4vecb,vecc,vecd)]=lamda[(veca,vecc,vecd)]+mu[(vecb,vecc,vec...

    Text Solution

    |