Home
Class 12
MATHS
The vector veca+vecb bisects the angle b...

The vector `veca+vecb` bisects the angle between the non-collinear vectors `vecaandvecb`, if……..

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -1|90 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

The angle between the two vectors veca + vecb and veca-vecb is

The vector veca+vecb bisects the angle between the vectors hata and hatb if (A) |veca|+|vecb|=0 (B) angle between veca and vecb is zero (C) |veca|=|vecb|=0 (D) none of these

veca, vecb, vecc are unit vectors such that if the angles between the vectors veca and vecb , vecb and vecc , vecc and veca are respectively pi/6, pi/4 and pi/3 , then find out the angle the vector veca makes with the plane containing vecb and vecc is

Find the vector of magnitude 3, bisecting the angle between the vectors veca=2hati+hatj-hatk and vecb=hati-2hatj+hatk .

If the angle between two vectors vecA and vecB " is " 90^(@) then

If veca and vecb are two vectors, such that veca.vecblt0 and |veca.vecb|=|vecaxxvecb| then the angle between the vectors veca and vecb is (a) pi (b) (7pi)/4 (c) pi/4 (d) (3pi)/4

if veca and vecb non-zero ad non-collinear vectors, then

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: If vecc is a unit vector and equal to the sum of veca and vecb the magnitude of difference between veca and vecb is (A) 1 (B) sqrt(2) (C) sqrt(3) (D) 1/sqrt(2)

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: The value of sin(theta/2) is (A) 1/2 |veca-vecb| (B) 1/2|veca+vecb| (C) |veca-vecb| (D) |veca+vecb|

STATEMENT-1 : The vector hati bisects the angle between the vectors hati-2hatj-2hatk and hati+2hatj+2hatk . And STATEMENT-2 : The vector along the angle bisector of the vector veca and vecb is given by +-((veca)/(|veca|)+-(vecb)/(|vecb|)) where |veca|.|vecb|ne 0

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. The vector veca+vecb bisects the angle between the non-collinear vecto...

    Text Solution

    |

  2. Sate true/false. The points with position vectors veca + vecb, veca-ve...

    Text Solution

    |

  3. Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vec...

    Text Solution

    |

  4. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

    Text Solution

    |

  5. If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX...

    Text Solution

    |

  6. find three- dimensional vectors, vecv1, vecv2 and vecv3" satisfying "...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  9. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. Let OACB be a parallelogram with O at the origin and OC a diagonal. Le...

    Text Solution

    |

  12. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  13. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

    Text Solution

    |

  14. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

    Text Solution

    |

  15. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

    Text Solution

    |

  20. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  21. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

    Text Solution

    |