Home
Class 12
MATHS
If vec a and vec b are two unit vectors ...

If `vec a` and `vec b` are two unit vectors and `theta` is the angle between them, then the unit vector along the angular bisector of `vec a` and `vec b` will be given by

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec aa n d vec b are two unit vectors and theta is the angle between them, then the unit vector along the angular bisector of vec a and vec b will be given by a. ( vec a- vec b)/(cos(theta//2)) b. ( vec a+ vec b)/(2cos(theta//2)) c. ( vec a- vec b)/(2cos(theta//2)) d. none of these

If vec(a) and vec(b) are the unit vectors and theta is the angle between them, then vec(a) + vec(b) is a unit vector if

If vec(e_(1)) and vec(e_(2)) are two unit vectors and theta is the angle between them, then sin (theta/2) is:

Let vec a\ a n d\ vec b be two unit vectors and alpha be the angle between them, then vec a+ vec b is a unit vectors, if

If vec a\ a n d\ vec b be two unit vectors and theta is the angle between them. Then vec a+ vec b\ is an unit vector, if theta= pi/2 b. (2pi)/3 c. pi/4 d. pi/3

If vec a and vec b are unit Vectors, then what is the angle between vec a and vec b so that sqrt(2) vec a- vec b is a unit vector?

If vec(a) and vec(b) are unit vectors, then the angle between vec(a) and vec(b) for sqrt( 3) vec( a) - vec(b) to be a unit vector is

vec(A) and vec(B) are two Vectors and theta is the angle between them, if |vec(A)xxvec(B)|= sqrt(3)(vec(A).vec(B)) the value of theta is

If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is also a unit vector, find the angle between vec a\ a n d\ vec bdot

If vec(a) and vec(b) are unit vectors inclined at an angle alpha , then the value of | vec(a) - vec(b)| is

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. The position vector of the points P and Q are 5 hat i+7 hat j-2 hat ...

    Text Solution

    |

  2. Consider the vectors hat i+cos(beta-alpha) hat j+cos(gamma-alpha) hat...

    Text Solution

    |

  3. If vec a and vec b are two unit vectors and theta is the angle between...

    Text Solution

    |

  4. The vectors x hat i+(x+1) hat j+(x+2) hat k ,(x+3) hat i+(x+4) hat j+(...

    Text Solution

    |

  5. vec A isa vector with direction cosines cosalpha,cosbetaa n dcosgammad...

    Text Solution

    |

  6. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

    Text Solution

    |

  7. The sides of a parallelogram are 2 hat i+4 hat j-5 hat k and hat i+2 ...

    Text Solution

    |

  8. If vec a , vec b , vec c are non-coplanar vector and lambda is a re...

    Text Solution

    |

  9. If points hat i+ hat j , hat i- hat j and p hat i+q hat j+r hat k are...

    Text Solution

    |

  10. If the vectors hat i- hat j , hat j+ hat k and vec a form a triangl...

    Text Solution

    |

  11. If the resultant of three forces vec F1=p hat i+3 hat j- hat k , v...

    Text Solution

    |

  12. vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c...

    Text Solution

    |

  13. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  14. Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k ...

    Text Solution

    |

  15. Show that the point A , B and C with position vectors vec a =3 hat i ...

    Text Solution

    |

  16. If 2vec(AC)=3vec(CB), then prove that 2vec(OA)+3vec(OB)=5vec(OC) where...

    Text Solution

    |

  17. Find the unit vector in the direction of vector vec (PQ), where P and...

    Text Solution

    |

  18. For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + ...

    Text Solution

    |

  19. If the projections of vector vec a on x -, y - and z -axes are 2, ...

    Text Solution

    |

  20. Find a vector in the direction of the vector 5 hat i - hat j + 2 h...

    Text Solution

    |