Home
Class 12
MATHS
If veca and vec b are non-zero, non-col...

If `veca and vec b` are non-zero, non-collinear vectors such that `|veca|=2, veca*vecb=1` and angle between `veca and vec b` is `(pi)/(3)`. If `vecr` is any vector such that `vecr*veca=2, vecr*vecb=8, (vec r+2veca-10vecb)*(vecaxxvecb)=4sqrt(3)` and satisfy to `vecr+2veca-10vecb=lambda(veca xx vec b)`, then `lambda` is equal to : (a) `1/2` (b) 2 (c) `1/4` (d) none of these

A

`(1)/(2)`

B

2

C

`(1)/(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|20 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are non - zero vectors such that |veca + vecb| = |veca - 2vecb| then

If veca and vecb are unit vectors such that (veca +vecb). (2veca + 3vecb)xx(3veca - 2vecb)=vec0 then angle between veca and vecb is

If veca , vecb and vec(c ) are there vectors such that veca + vecb = vec(C ) and further a^2 +b^2 =c ^2 find the angle between veca and vecb ?

If veca , vecb are unit vectors such that |vec a+vecb|=-1 " then " |2veca -3vecb| =

If vec a \ a n d \ vec b are two non-collinear unit vector, and ∣ ​ veca + vecb ∣ ​ = 3 ​ then (2 veca −5 vecb ).(3 veca + vecb ) =

If veca and vecb are non-zero, non parallel vectors, then the value of |veca + vecb+veca xx vecb|^(2) +|veca + vecb-veca xx vecb|^(2) equals

Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|vec b|=5 , vec b .vec c = 10 and the angle between vec b and vec c is pi/3, if vec a is perpendicular to the vector vec b xx vec c, then | veca xx (vecbxxvecc)| is equal to __________.

If veca and vecb are two non collinear unit vectors and |veca+vecb|=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

If vec a , vec ba n d vec c are three non coplanar vectors, then ( veca + vecb + vecc )[( veca + vecb )×( veca + vecc )] is :

If veca and vecb are unit vectors, then angle between veca and vecb for sqrt3 ​ veca − vec b to be unit vector is

VIKAS GUPTA (BLACK BOOK) ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
  1. If veca and vec b are non-zero, non-collinear vectors such that |vec...

    Text Solution

    |

  2. A rod AB of length 2L and mass m is lying on a horizontal frictionless...

    Text Solution

    |

  3. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

    Text Solution

    |

  4. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

    Text Solution

    |

  5. If A is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

    Text Solution

    |

  6. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

    Text Solution

    |

  7. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

    Text Solution

    |

  8. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

    Text Solution

    |

  9. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

    Text Solution

    |

  10. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

    Text Solution

    |

  11. A, B, C, D are four points in the space and satisfy |vec(AB)|=3, |vec(...

    Text Solution

    |

  12. Let OABC be a regular tetrahedron of edge length unity. Its volume be ...

    Text Solution

    |

  13. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

    Text Solution

    |

  14. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

    Text Solution

    |

  15. Let P and Q are two points on the curve y=log((1)/(2))(x-0.5)+log2sqrt...

    Text Solution

    |

  16. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

    Text Solution

    |

  17. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

    Text Solution

    |