Home
Class 12
MATHS
vecb and vecc are non- collinear if veca...

`vecb and vecc` are non- collinear if `veca xx (vecb xx vecc) + (veca .vecb) vecb = ( 4-2x- sin y) vecb + ( x^(2) -1) vecc nad (vec. Vecc) veca =veca ` then

A

`alpha=(pi)/(2),beta=-1`

B

`alpha=(pi)/(3), beta=-1`

C

`alpha=(pi)/(3), beta=1`

D

`alpha=(pi)/(2), beta=1`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-C)|6 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-D) Comprehesion-I|3 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-A)|50 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

vecb and vecc are non- collinear if veca xx (vecb xx vecc) + (veca .vecb) vecb = ( 4-2x- sin y) vecb + ( x^(2) -1) vecc andd (vec. vecc) veca =veca then

vecb and vecc are non- collinear if veca xx (vecb xx vecc) + (veca .vecb) vecb = ( 4-2x- sin y) vecb + ( x^(2) -1) vecc nad (veca. vecc) veca =veca then a. x =1 b. x = -1 c. y = (4 n+1) pi/2, n in I d. y ( 2n + 1) pi/2, n in I

The value of veca.(vecb+vecc)xx(veca+vecb+vecc) , is

Let vecb and vecc be non-collinear vectors. If veca is a vector such that veca.(vecb + vecc)=4 and veca xx (vecb xx vecc)=(x^(2) - 2x + 6)vecb + sin y.vecc , then (x,y) lies on the line:

If veca, vecb and vecc are three non-coplanar non-zero vectors, then prove that (veca.veca) vecb xx vecc + (veca.vecb) vecc xx veca + (veca.vecc)veca xx vecb = [vecb vecc veca] veca

[ veca + vecb vecb + vecc vecc + veca ]=[ veca vecb vecc ] , then

Let veca vecb and vecc be non- zero vectors aned vecV_(1) =veca xx (vecb xx vecc) and vecV_(2) = (veca xx vecb) xx vecc .vectors vecV_(1) and vecV_(2) are equal . Then

If veca, vecb and vecc are three non-coplanar vectors, then (veca + vecb + vecc). [(veca + vecb) xx (veca + vecc)] equals

If veca , vecb and vecc are non- coplanar vectors and veca xx vecc is perpendicular to veca xx (vecb xx vecc) , then the value of [ veca xx ( vecb xx vecc)] xx vecc is equal to

[(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxveca) xx (veca xx vecb)] is equal to ( where veca, vecb and vecc are non - zero non- colanar vectors). (a) [veca vecb vecc] ^(2) (b)[veca vecb vecc] ^(3) (c)[veca vecb vecc] ^(4) (d)[veca vecb vecc]

AAKASH INSTITUTE ENGLISH-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

    Text Solution

    |

  2. If a and b are unit vectors, then the vector defined as V=(a+b)times(a...

    Text Solution

    |

  3. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

    Text Solution

    |

  4. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

    Text Solution

    |

  5. A unit vector perpendicular to the plane passing through the points w...

    Text Solution

    |

  6. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

    Text Solution

    |

  7. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

    Text Solution

    |

  8. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

    Text Solution

    |

  9. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

    Text Solution

    |

  10. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

    Text Solution

    |

  11. If the verticles of a tetrahedron have the position vectors vec0, hati...

    Text Solution

    |

  12. If [(2veca+vecb)veccvecd]=lambda[vecaveccvecd]+mu[vecbveccvecd] then l...

    Text Solution

    |

  13. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  14. The position vectors of the sides of triangle are 3hati+4hatj+5hatk, h...

    Text Solution

    |

  15. vecb and vecc are non- collinear if veca xx (vecb xx vecc) + (veca .ve...

    Text Solution

    |

  16. Let veca = 2hati + hatj + hatk, and vecb = hati+ hatj if c is a vecto...

    Text Solution

    |

  17. vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, v...

    Text Solution

    |

  18. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

    Text Solution

    |

  19. If veca bot vecb then vector vecv in terms of veca and vecb satisfying...

    Text Solution

    |

  20. If veca, vecb,vecc are unit vectors such that veca is perpendicular to...

    Text Solution

    |