Home
Class 12
MATHS
If veca and vecb are unit vectors inclin...

If veca and vecb are unit vectors inclined at an angle theta then prove that `cos(theta/2) = 1/2|veca +vecb|`

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos
  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Unit vectors veca and vecb ar perpendicular , and unit vector vecc is inclined at an angle theta to both veca and vecb . If vec c= alpha veca + beta vecb + gamma (veca xx vecb) then.

If veca and vecb are two vectors such that |veca+vecb|=|veca| , then prove that the vector 2veca+vecb is perpendicular to vector vecb .

If veca and vecb are unit vectors then what is the angle between veca and vecb for sqrt(3)veca-vecb to be a unit vector?

If veca and vecb are any two unit vectors, then find the greatest postive integer in the range of (3|veca + vecb|)/2+2|veca-vecb|

If unit vectors veca and vecb are inclined at an angle 2 theta such that |veca - vecb| lt 1 and 0 le theta le pi , then theta lies in the interval

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

MODERN PUBLICATION-VECTORS-Exercise
  1. If veca and vecb are unit vectors inclined at an angle theta then prov...

    Text Solution

    |

  2. Represent graphically a displacement of 40 km, 30^o west of south.

    Text Solution

    |

  3. Represent the following graphically a displacement of : 40 km, 30^@ ea...

    Text Solution

    |

  4. Represent the following graphically a displacement of : 40 km, 30^@ ea...

    Text Solution

    |

  5. Classify the following measure as scalar and vector: 10 Kg

    Text Solution

    |

  6. Classify the following measure as scalar and vector: 40^o

    Text Solution

    |

  7. Classify the following measure as scalar and vector: 2 meters north-w...

    Text Solution

    |

  8. Classify the following measure as scalar and vector:40watt

    Text Solution

    |

  9. Classify the following measure as scalar and vector: 10^(-19)coulomb

    Text Solution

    |

  10. Classify the following measure as scalar and vector: 20 m/s^2

    Text Solution

    |

  11. Classify the following measures as scalars and vectors: 1000 cm^3

    Text Solution

    |

  12. Classify the following measures as scalars and vectors: 10 N

    Text Solution

    |

  13. Classify the following measures as scalars and vectors: 30 km/h

    Text Solution

    |

  14. Classify the following as scalar and vector quantities: time period

    Text Solution

    |

  15. Classify the following as scalar and vector quantities: distance

    Text Solution

    |

  16. Classify the following as scalar and vector quantities: force

    Text Solution

    |

  17. Classify the following as scalar and vector quantities: velocity

    Text Solution

    |

  18. Classify the following as scalar and vector quantities:work done

    Text Solution

    |

  19. In the figure identify the following vectors : Co-initial.

    Text Solution

    |

  20. In the figure identify the following vectors : Equal.

    Text Solution

    |

  21. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |