Home
Class 12
MATHS
For three vectors vecu,vecv,vecw which o...

For three vectors `vecu,vecv,vecw` which of the following expressions is not eqal to any of the remaining three?

A

`vecu.(vecvxx vecw)`

B

`(vecvxx vecw).vecu`

C

`vecv.(vecuxx vecw)`

D

`(vecuxx vecv).vecw`

Text Solution

Verified by Experts

The correct Answer is:
c
`[ vecu vecv vecw] = [vecv vecw vecu] = [vecw vecu vecv]`
but `[vecv vecu vecw]=- [vecu vecv vecw]`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

  • DETERMINANTS

    CENGAGE|Exercise Question Bank|23 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|25 Videos

Similar Questions

Explore conceptually related problems

For three vectors, vecu, vecv and vecw which of the following expressions is not equal to any of the remaining three ?

For three vectors overset(to)(u), overset(to)(v) , overset(to)(W) which of the folllowing expressions is not equal to any of the remaining three ?

Which one of the following pairs is wrongly matched, while the remaining three are correct?

Which one of the following is not a property of cancerous cells whereas the remaining three are

Which one the following pairs is wrongly matched while the remaining three and correct

Which one of the following pairs is wrongly matched while the remaining three are correct ?

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

    Text Solution

    |

  2. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

    Text Solution

    |

  3. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

    Text Solution

    |

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

    Text Solution

    |

  5. Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hat...

    Text Solution

    |

  6. For three vectors vecu,vecv,vecw which of the following expressions is...

    Text Solution

    |

  7. Which of the following expressions are meaningful? vec udot( vec v...

    Text Solution

    |

  8. If veca and vecb are two non collinear vectors and vecuveca0(veca.vecb...

    Text Solution

    |

  9. Vector 1/3 (2hati - 2hatj +hatk) is

    Text Solution

    |

  10. Let vec a be vector parallel to line of intersection of planes P1 and...

    Text Solution

    |

  11. The vectors which is/are coplanar with vectors hati+hatj+2hatk and hat...

    Text Solution

    |

  12. Let vecx, vecy and vecz be three vectors each of magnitude sqrt2 and t...

    Text Solution

    |

  13. Let tianglePQR be a triangle . Let veca=overline(QR),vecb = overline(R...

    Text Solution

    |

  14. Text Solution

    |

  15. Text Solution

    |

  16. Text Solution

    |

  17. If veca and vecb are vectors in space given by veca=(hati-23hatj)/(sqr...

    Text Solution

    |

  18. Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be...

    Text Solution

    |

  19. If veca, vecb and vecc are unit vectors satisfying |veca-vecb|^(2)+|ve...

    Text Solution

    |

  20. Let vec a, vec b, and vec c be three non coplanar unit vectors such th...

    Text Solution

    |