Home
Class 12
MATHS
If vec(a)*vec(b)=vec(b)*vec(c),vec(a)=0,...

If `vec(a)*vec(b)=vec(b)*vec(c),vec(a)=0,` then the value of `[vec(a),vec(b),vec(c)]` is

A

`absvec(a)absvec(b)absvec(c)`

B

`(1)/(3)absvec(a)absvec(b)absvec(c)`

C

1

D

-1

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( Choose the Correct or the most suitable answer from the given four alternatives : )|25 Videos

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( II. Fill in the blanks : )|15 Videos

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise EXERCISE 6.9|8 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos

  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS )|6 Videos

Similar Questions

Explore conceptually related problems

Let vec(a),vec(b)andvec(c) be three non-coplanar vectors and let vec(p),vec(q),vec(r) be the vectors defined by the relations vec(p)=(vec(b)xxvec(c))/([vec(a)vec(b)vec(c)]),vec(q)=(vec(c)xxvec(a))/([vec(a)vec(b)vec(c)]),vec(r)=(vec(a)xxvec(b))/([vec(a)vec(b)vec(c)])" Then the value of "(vec(a)+vec(b))*vec(p)+(vec(b)+vec(c))*vec(q)+(vec(c)+vec(a))*vec(r)=

If [vec(a),vec(b),vec(c)]=1, then the value of (vec(a)*(vec(b)xxvec(c)))/((vec(c)xxvec(a))*vec(a))+(vec(b)*(vec(c)xxvec(a)))/((vec(a)xxvec(b))*vec(c))+(vec(c)(vec(a)xxvec(b)))/((vec(c)xxvec(b))*vec(a)) is

If vec(a)xx(vec(b)xxvec(c))=(vec(a)xxvec(b))xxvec(c)," where "vec(a),vec(b)vec(c) are any three vectors such that vec(b)*vec(c)ne0andvec(a)*vec(b)ne0," then "vec(a)andvec(c)" are "

Prove that [vec(a)+vec(b)+vec(c),vec(b)+vec(c),vec(c)]=[vec(a)vec(b)vec(c)]

prove that [vec(a)-vec(b),vec(b)-vec(c)vec(c)-vec(a)]=0

If vec(a),vec(b),vec(c) are non-coplanar, non-zero vectors such that [vec(a),vec(b),vec(c)]=3,"then"{"["vec(a)xxvec(b),vec(b)xxvec(c),vec(c)xxvec(a)"]"}^(2) is equal to

If vec(a)+vec(b)+vec(c)=0," then show that "vec(a)xxvec(b)=vec(b)xxvec(c)=vec(c)xxvec(a)

If [ vec a vec b vec c]=2, then find the value of [( vec a+2 vec b- vec c)( vec a- vec b)( vec a- vec b- vec c)]dot

If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a- vec b|dot

SURA PUBLICATION-APPLICATIONS OF VECTORA ALGEBRA-EXERCISE 6.10 (Choose the Correct or the most suitable answer from the given four alternative : )
  1. If vec(a)andvec(b)" are parallel vectors, then "[vec(a)vec(b)vec(c)]" ...

    Text Solution

    |

  2. If a vector vec(alpha) lies in the plane of vec(beta)andvec(gamma), th...

    Text Solution

    |

  3. If vec(a)*vec(b)=vec(b)*vec(c),vec(a)=0, then the value of [vec(a),vec...

    Text Solution

    |

  4. If vec(a),vec(b),vec(c) are three unit vectors such that vec(a) is per...

    Text Solution

    |

  5. If [vec(a),vec(b),vec(c)]=1, then the value of (vec(a)*(vec(b)xxvec(c)...

    Text Solution

    |

  6. The volume of the parallelepiped with its edges represented by the vec...

    Text Solution

    |

  7. If vec(a)andvec(b) are unit vectors such that [vec(a),vec(b),vec(a)xxv...

    Text Solution

    |

  8. If vec(a)=hat(i)+hat(j)+hat(k),vec(b)=hat(i)+hat(j),vec(c)=hat(i)and(v...

    Text Solution

    |

  9. If vec(a),vec(b),vec(c) are non-coplanar, non-zero vectors such that [...

    Text Solution

    |

  10. If vec(a),vec(b),vec(c) are three non-coplanar vectors such that vec(a...

    Text Solution

    |

  11. If the volume of the parallelpiped with vec(a)xxvec(b),vec(b)xxvec(c),...

    Text Solution

    |

  12. Consider the vectors, vec(a),vec(b),vec(c),vec(d) such that (vec(a)xxv...

    Text Solution

    |

  13. If vec(a)xx(vec(b)xxvec(c))=(vec(a)xxvec(b))xxvec(c)," where "vec(a),v...

    Text Solution

    |

  14. If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=hat(i)+2hat(j)-5hat(k),vec(c)=...

    Text Solution

    |

  15. The angle between the lines (x-2)/(3)=(y+1)/(-2),z=2and(x-1)/(1)=(2y+3...

    Text Solution

    |

  16. If the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2)" lies in the plane "x+3y-az...

    Text Solution

    |

  17. The angle between the lines vec(r)=(hat(i)+2hat(j)-3hat(k))+t(2hat(i)+...

    Text Solution

    |

  18. The coordinates of the point where the line vec(r)=(6i-j-3k)+t(-i+4k)"...

    Text Solution

    |

  19. Distance from the origin to the plane 3x - 6y + 2z + 7 = 0 is

    Text Solution

    |

  20. The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z +...

    Text Solution

    |