Home
Class 12
MATHS
Vectors vec a, vec b are noncollinear. ...

Vectors `vec a, vec b` are noncollinear. Find x so that the vectors `(x-1)veca + vec b` and `(2+3x)vec a - 2 vec b` are collinear.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Vectors and Addition of Vectors

    A DAS GUPTA|Exercise Exercise|16 Videos
  • Trigonometrical Inequalities and Inequations

    A DAS GUPTA|Exercise Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Vectors vec a and vec b are non-collinear.Find for what value of n vectors vec c=(n-2)vec a+vec b and vec d=(2n+1)vec a-vec b are collinear?

If vec a , vec b , vec c are three non-zero vectors (no two of which are collinear), such that the pairs of vectors (vec a + vec b, vec c) and (vec b + vec c , vec a) are collinear, then vec a + vec b + vec c =

If vec a and vec b are two non collinear unit vectors such that |vec a+vec b|=3, find (2vec a-5vec b)3vec a+vec b

If vec a and vec b are non-collinear vectors,find the value of x for which the vectors vec alpha=(2x+1)vec a-vec b and vec beta=(x-2)vec a+vec b are collinear.

Two vectors vec(a) and vec(b) are non-zero and non-collinear. What is the value of x for which the vectors vec(p)(x-2)vec(a)+vec(b) and vec(q)=(x+1)vec(a)-vec(b) are collinear?

If vec a and vec b are non-collinear unit vectors and |vec a+vec b|=sqrt(3) then (2vec a+5vec b)*(3vec a-vec b)=

Let vec a and vec b are non collinear vectors.If vectors vec alpha=(lambda-2)vec a+vec b and vec beta=(4 lambda-2)vec a+3vec b are collinear,then lambda is equal to (a)-4(b)4(c)2(d)-2

If vec a and vec b are non-collinear vectors,then the value of x for which vectors vec alpha=(x-2)vec a+vec b and vec beta=(3+2x)vec a-2vec b are collinear,is given by

If vec a and vec b are non-collinear vectors,then the value of x for which vectors rarrvec alpha=(x-2)vec a+vec b and vec beta=(3+2x)vec a-2vec b are collinear,is given by (i) (1)/(2)(iii)(1)/(4)(iii)0(iv)-1

vec a,vec b,vec c are three vectors of which every pair is non-collinear.If the vectors vec a+2vec b and vec b+3vec c are collinear with vec c and vec a respectively then vec a+2vec b+6vec c is

A DAS GUPTA-Vectors and Addition of Vectors-Exercise
  1. If O is the circumcentre and P the orthocentre of Delta ABC, prove tha...

    Text Solution

    |

  2. If O is the circumcentre and P the orthocentre of Delta ABC, prove tha...

    Text Solution

    |

  3. If S is circumcentre, O is orthocentre of DeltaABC, then vec(SA)+vec(...

    Text Solution

    |

  4. If ABCDEF is a regular hexagon, prove that vec(AC)+vec(AD)+vec(EA)+vec...

    Text Solution

    |

  5. In Fig. ABCDEF is a regular hexagon. Prove that vec(AB) +vec(AC) +ve...

    Text Solution

    |

  6. Find area of the triangle formed by the points (1,2,3), (-1,-1,8) and ...

    Text Solution

    |

  7. The vectors of A,B,C and D are respectively 2 vec I + 3 vec j + 5 vec ...

    Text Solution

    |

  8. Find all lambda in R such that (x,y,z)!=(0,0,0) and (vec i + vec j + 3...

    Text Solution

    |

  9. What is the unit vector hat a parallel to the vector vec a= 3 vec I + ...

    Text Solution

    |

  10. Vectors vec a, vec b are noncollinear. Find x so that the vectors (x-...

    Text Solution

    |

  11. The position vectors of the points A,B,C are vec a, vec b, vec c respe...

    Text Solution

    |

  12. If three vector 2veci-vecj-veck,veci+2vecj-3veck,3veci+lambdavecj+5vec...

    Text Solution

    |

  13. If vec a, vec b, vec c are three non collinear vectors then show that ...

    Text Solution

    |

  14. If the points A(2,3,-4), B(1,-2,3) and C(3,lambda,-1) are colliner, th...

    Text Solution

    |

  15. Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are co...

    Text Solution

    |

  16. Three non-zero vectors vec(a), vec(b), vec(c) are such that no two of ...

    Text Solution

    |