Home
Class 12
MATHS
Let vec a , vec b , and vec c are vecto...

Let ` vec a , vec b , and vec c` are vectors such that `| vec a|=3,| vec b|=4 and | vec c|=5, and ( vec a+ vec b)` is perpendicular to ` vec c ,( vec b+ vec c)` is perpendicular to ` vec a and ( vec c+ vec a)` is perpendicular to ` vec bdot` Then find the value of `| vec a+ vec b+ vec c|` .

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Let vec a , vec ba n d vec c be pairwise mutually perpendicular vectors, such that | vec a|=1,| vec b|=2,| vec c|=2. Then find the length of | vec a+ vec b+ vec c |

Let vec a , vec b ,and vec c be any three vectors, then prove that [ vec axx vec b vec bxx vec c vec cxx vec a ]= [vec a vec b vec c]^2

If vec a , vec b , and vec c are three vectors such that vec axx vec b= vec c , vec bxx vec c= vec a , vec cxx vec a= vec b , then prove that | vec a|=| vec b|=| vec c| .

If | vec a|=2| vec b|=5 and | vec axx vec b|=8, then find the value of vec a . vec bdot

If vec A, vec B and vec C are vectors such that |vec B|=|vec C| . Prove that [(vec A+ vec B)xx (vec A + vec C)]xx (vec B+vec C).(vec B+ vec C)=0

Let vec a , vec ba n d vec c be three verctors such that vec a!=0,| vec a|=| vec c|=1,| vec b|=4 and | vec bxx vec c|=sqrt(15)dot If vec b-2 vec c=lambda vec a , then find the value of lambda

If vec a,vec b, vec c be three vectors such that vec a+vec b+vec c=0 , |veca|=3 , |vecb|=5 and |vecc|=7 find the angle between the vectors veca and vec b .

If vec a , vec b , vec c are mutually perpendicular unit vectors, find |2 vec a+ vec b+ vec c|dot

Let vec a and vec b be unit vectors such that | vec a+ vec b|=sqrt(3) . Then find the value of (2 vec a+5 vec b).((3 vec a+ vec b+ vec axx vec b))dot

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

    Text Solution

    |

  2. Prove that in a tetrahedron if two pairs of opposite edges are perp...

    Text Solution

    |

  3. Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec ...

    Text Solution

    |

  4. If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a...

    Text Solution

    |

  5. If vec A=4 hat i+6 hat j and vec B=3 hat j+4 hat k , then find the co...

    Text Solution

    |

  6. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

    Text Solution

    |

  7. If veca , vecb , vecc are three mutually perpendicular unit ve...

    Text Solution

    |

  8. Let vec a=x hat i+12 hat j- hat k , vec b=2 hat i+2x hat j+ hat ka n ...

    Text Solution

    |

  9. If vec a , vec b ,a n d vec c are three non-coplanar vectors, then ...

    Text Solution

    |

  10. If vec a , vec b , vec ca n d vec d are the position vectors of the...

    Text Solution

    |

  11. The position vectors of the vertices of a quadrilateral with A as o...

    Text Solution

    |

  12. If vec axx vec b= vec cxx vec da n d vec axx vec c= vec bxx vec d , t...

    Text Solution

    |

  13. Show by a numerical example and geometrically also that vec axx ve...

    Text Solution

    |

  14. In triangle A B C ,points D , Ea n dF are taken on the sides B C ,C Aa...

    Text Solution

    |

  15. Let A ,B ,C be points with position vectors 2 hat i- hat j+ hat k , ...

    Text Solution

    |

  16. Let vec a and vec b be unit vectors such that | vec a+ vec b|=sqrt(3)...

    Text Solution

    |

  17. If u and v are two non-collinear unit vectors such that |vecu...

    Text Solution

    |

  18. A rigid body is spinning about a fixed point (3,-2,-1) with an angu...

    Text Solution

    |

  19. vec rxx vec a= vec bxx vec a ; vec rxx vec b= vec axx vec b ; vec a!= ...

    Text Solution

    |

  20. If | vec a|=2, then find the value of | vec axx hat i|^2+| vec axx hat...

    Text Solution

    |