Home
Class 11
MATHS
If bare(1),bare(2) and bare(3) are mutua...

If `bare_(1),bare_(2) and bare_(3)` are mutually perpendicular unit vectors then what is the magnitude of `bare_(1)+bare_(2) + bare_(3)`?

Text Solution

Verified by Experts

The correct Answer is:
`sqrt3`
Promotional Banner

Topper's Solved these Questions

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|30 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE - II|71 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise EXERCISE-2.1 (LONG ANSWER QUESTIONS)|5 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

Similar Questions

Explore conceptually related problems

If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then find [bar(a)bar(b)bar(c )]^(2) .

If bare_(1),bare_(2) and bare_(3) are non-coplanar unit vectors and alpha=(bare_(1),bare_(2)), beta = (bare_(2),bare_(3)) and gamma = (bare_(3),bare_(1)) then what is the minimum value of cosalpha+cosbeta +cos gamma ?

If the vectors bara = (1,x,-2), barb = (x,3,-4) are mutually perpendicular, then x =

bara,barb,barc are mutually perpendicular unit vectors and bard is a unit vector equally inclined to each of bara,barb and barc " at an angle of " 60^(@). " Find the value of " abs(bara+barb+barc+bard)^(2) .

If bara, barb, barc are mutually perpendicular unit vectors then [bara barb barc]^(2)+[barb barc bara]^(2)+[barcbarabarb]^(2)+[barabarcbarb]^(2)+[barc barb bara]^(2) =

Let bare_(1) and bare_(2) be unit vectors which include an angel theta. "If " 1/2abs(bare_(1) - bare_(2)) = sin (k theta) , then k=

If bare_(1) = (1,1,1), bare_(2) = (1,1,-1) and bara, barb " are two vectors such that " bare_(1)=2bara+barb and bare_(2)= bara+2barb, " then " (bara,barb) =

When force F_(1), F_(2), F_(3) are acting on a particle of mass m such that F_(2) and F_(3) are mutually perpendicular, then the particle remains stationary. If the force F_(1) is now removed then acceleration of the particle is

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-ADDITIONAL EXERCISE
  1. If bara is a unit vector and barx is any vector such that (barx-bara)...

    Text Solution

    |

  2. If bare(1),bare(2) and bare(3) are mutually perpendicular unit vectors...

    Text Solution

    |

  3. If bara,barb,barc " are unit vectors such that " bara+barb+barc=bar0, ...

    Text Solution

    |

  4. If A = (1,-1,0), B=(1,2,1), C=(2,3,0) and D=(0,1,t). Be four points. ...

    Text Solution

    |

  5. bara,barb,barc are mutually perpendicular unit vectors and bard is a u...

    Text Solution

    |

  6. In the coordinate plane, A(1,y(0)) " is a point on the curve " y=2sq...

    Text Solution

    |

  7. If the vectros (cosx)bari +(sinx)barj and xbari+(sinx)barj are colline...

    Text Solution

    |

  8. Find the acute angle between the diagonals of a parallelogram whose ad...

    Text Solution

    |

  9. If bara = 3bari-4barj-bark, barb = 2bari + 3barj -6bark are diagonals...

    Text Solution

    |

  10. If the planes barr.(bari+barj-3bark) = 7 and barr.(bari -tbarj+bark) =...

    Text Solution

    |

  11. If bara,barb" and "bara-barb are unit vectors, then what is the angle ...

    Text Solution

    |

  12. In DeltaABC, " if " BC = a, CA = b and AB = C, " then what is the valu...

    Text Solution

    |

  13. If absbara = 3,absbarb =2 and theta " is angle between " bara and barb...

    Text Solution

    |

  14. If bara = xbari + ybari + zbark, then what are the value of x, y and z...

    Text Solution

    |

  15. If bara,barb,barc " are unit vectors, then find least value of " 2(ba...

    Text Solution

    |

  16. If bara " is perpendicular to " bari,barj & bark, " then find " bara.

    Text Solution

    |

  17. If bar(AD),bar(BE) and bar(CF) " are the medians of " DeltaABC, then f...

    Text Solution

    |

  18. If bara and barb are any two non-zero vectors, then find the angle bet...

    Text Solution

    |

  19. If bara and barb are non-zero vectors such that abs(bara+barb)^(2) = a...

    Text Solution

    |

  20. If bare(1),bare(2) and bare(3) are non-coplanar unit vectors and alp...

    Text Solution

    |