Home
Class 11
PHYSICS
If veca and vecb are two unit vectors an...

If `veca` and `vecb` are two unit vectors and the angle between them is `60^(@)` then `((1+veca.vecb))/((1-veca.vecb))` is

A

2

B

3

C

0

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
B
`(1+veca.vecb)/(1-veca.vecb)=(1+cos theta)/(1-cos theta)=cot^(2)((theta)/(2))`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

  • VECTORS

    NARAYNA|Exercise LEVEL-II (C.W)|16 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise STATEMENT TYPE QUESTION|23 Videos

  • WAVES

    NARAYNA|Exercise Exercise-IV|56 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are unit vector and theta is the angle between then, then |(veca - vecb)/2| is:

Let veca and vecb be two unit vectors and alpha be the angle between them, then veca + vecb is a unit vector , if alpha =

Let veca and vecb be two vectors of the same magnitude such that the angle between them is 60^(@) and veca.vecb =8. Find |veca| and |vecb| .

If veca and vecb are two unit vectors and theta is the angle between them, then the unit vector along the angular bisector of veca and vecb will be given by

If veca and vecb are unit vectors inclined at an angle theta , then the value of |veca-vecb| is

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|

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)

If veca and vecb are two unit vectors inclined at an angle pi//3 then { veca xx (vecb+veca xx vecb)} .vecb is equal to

If vecb and vecc are any two orthogonal unit vectors and veca is any vector, then (veca.vecb)vecb + (veca.vecc)vecc + (veca.(vecb xx vecc))/|vecb xx vecc|^(2) (vecb xx vecc) =

veca and vecb are bot vector absveca=absvecb=1 then angle between veca+vecb+(vecaxxvecb) and veca

NARAYNA-VECTORS-LEVEL-I (H.W)
  1. The vector parallel to 4hati-3hatj+5hatk and whose length is the arith...

    Text Solution

    |

  2. The direction consines of a vector vecA are cos alpha=(4)/(5sqrt(2)), ...

    Text Solution

    |

  3. Given two vectors vecA=hati-2hatj-3hatk and vecB=4hati-2hatj+6hatk. Th...

    Text Solution

    |

  4. To go from town A to town B a plane must fly about 1780 km at an angle...

    Text Solution

    |

  5. A vector hati+sqrt(3)hatj rotates about its tail through an angle 60^(...

    Text Solution

    |

  6. If veca=2hati+6hatj+mhatk and vecb=nhati+18hatj+3hatk are parallel to ...

    Text Solution

    |

  7. A particle has an initial velocity (6hati+8hatj) ms^(-1) and an accele...

    Text Solution

    |

  8. A motor boat is going in a river with a velocity vec(V) = (4 hat i-2 h...

    Text Solution

    |

  9. The angle between the two vectors -2hati+3hatj-hatk and hati+2hatj+4ha...

    Text Solution

    |

  10. If a vector vecA=2hati=2hatj+3hatk, and vecB=3hati=6hatj+nhatk, are pe...

    Text Solution

    |

  11. A vector parallel to the vector (hati+2hatj) and having magnitude 3sqr...

    Text Solution

    |

  12. If vecA=5hati-2hatj+3hatk and vecB=2hati+hatj+2hatk, component of vecB...

    Text Solution

    |

  13. If the vectors vecA=ahati+hatj-2hatk and vecB=ahati-ahatj+hatk are per...

    Text Solution

    |

  14. When a force (8hati+4hatj) newton displaces a particle through (3hati-...

    Text Solution

    |

  15. If veca and vecb are two unit vectors and the angle between them is 60...

    Text Solution

    |

  16. If vecF=2hati+3hatj-hatk and vecr=hati-hatj+6hatk find vecrxxvecF

    Text Solution

    |

  17. Two sides of a triangle are given by hati+hatj+hatk and -hati+2htj+3ha...

    Text Solution

    |

  18. The magnitude of scalar and vector products of two vectors are 144 and...

    Text Solution

    |

  19. Area of a parallelogram formed by vectors (3hati-2hatj+hatk)m and (hat...

    Text Solution

    |

  20. Find the value of x and y for which vectors vecA=6hati+xhatj-2hatk and...

    Text Solution

    |