Home
Class 12
MATHS
If the angle between unit vectors veca a...

If the angle between unit vectors `veca and vecb is 60^(@)` . Then find the value of `|veca -vecb|`.

Text Solution

Verified by Experts

`|veca-vecb|^(2)=(veca-vecb).(veca-vecb)`
`=a^(2)+b^(2)-2(veca.vecb)`
`1+1-2(1.1.costheta)`
`2(1-1/2)=1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos
  • DETERMINANTS

    CENGAGE|Exercise All Questions|268 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|7 Videos

Similar Questions

Explore conceptually related problems

Let veca, vecb, vecc be three unit vectors and veca.vecb=veca.vecc=0 . If the angle between vecb and vecc is pi/3 then find the value of |[veca vecb vecc]|

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt3 . Then find the value of (2veca+5vecb).(3veca+vecb+vecaxxvecb)

If veca and vecb are two vectors, such that |veca xx vecb|=2 , then find the value of [veca vecb veca xx vecb]

The angle between two vectors veca and vecb if |veca xx vecb|=veca*vecb is …………… .

If veca, vecb,vecc are unit vectors such that veca.vecb = 0= veca.vecc and the angle between vecb and vecc is pi//3 then the value of |vecaxxvecb -veca xx vecc| is

Find the angle between two vectors veca nd vecb if abs(vecaxxvecb)=veca.vecb .

Find the angle between the vectors veca and vecb such that |vec a| = |vec b| = sqrt 2 and veca.vecb = 1 .

if veca, vecb and vecc are there mutually perpendicular unit vectors and veca ia a unit vector make equal angles which veca, vecb and vecc then find the value of |veca+ vecb + vecc + vecd|^2

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt(3) , then the value of (2veca+5vecb) . (3veca+vecb+vecaxxvecb)=

Let veca, vecb and vecc be unit vector such that veca + vecb - vecc =0 . If the area of triangle formed by vectors veca and vecb is A, then what is the value of 4A^(2) ?

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Let veca vecb and vecc be pairwise mutually perpendicular vectors, suc...

    Text Solution

    |

  2. If veca+vecb+vecc =0, |veca|=3, |vecb|=5, |vecc|=7 then the angle betw...

    Text Solution

    |

  3. If the angle between unit vectors veca and vecb is 60^(@) . Then find ...

    Text Solution

    |

  4. Let vecu=hai+hatj,vecv=hati-hatj and vecw=hati+2hatj+3hatk. If hatn is...

    Text Solution

    |

  5. A , B , C , D are any four points, prove that vec A B dot vec C D+ ...

    Text Solution

    |

  6. P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection...

    Text Solution

    |

  7. If the vectors 3 vec p+ vec q ;5p-3 vec qa n d2 vec p+ vec q ;3 vec p-...

    Text Solution

    |

  8. Let vecA and vecB be two non-parallel unit vectors in a plane. If (alp...

    Text Solution

    |

  9. If veca ,vecb, vec c are three vectors such that veca + 2 vecb + vecc ...

    Text Solution

    |

  10. If veca and vecb are unit vectors, then find the greatest value of |ve...

    Text Solution

    |

  11. Constant forces P1= hat i+ hat j+ hat k ,P2= hat i+2 hat j- hat ka n d...

    Text Solution

    |

  12. Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.

    Text Solution

    |

  13. If A ,B ,C ,D are four distinct point in space such that A B is not...

    Text Solution

    |

  14. If veca=2hati+ 3hatj-5hatk,vecb =m hati+nhatj +12 hatk and veca xx vec...

    Text Solution

    |

  15. If |veca|=2, |vecb|=5 and |vecaxxvecb|=8 then find the value of veca.v...

    Text Solution

    |

  16. If veca xx vecb = vecb xx vecc ne 0 where veca , vecb and vecc are co...

    Text Solution

    |

  17. If veca = 2vecj+3vecj-veck, vecb =-veci+2vecj-4veck and vecc=veci + ve...

    Text Solution

    |

  18. if the vectors vecc, veca = xhati +yhatj + zhatk and vecb = hatj are s...

    Text Solution

    |

  19. given that veca. vecb = veca.vecc, veca xx vecb= veca xx vecc and veca...

    Text Solution

    |

  20. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb)

    Text Solution

    |