Home
Class 12
MATHS
If vec a , vec b ,and vec c are non-cop...

If ` vec a , vec b ,and vec c` are non-coplanar unit vectors such that ` vec axx( vec bxx vec c)=( vec b+ vec c)/(sqrt(2)), vec b and vec c` are non-parallel, then prove that the angel between ` vec a and vec b, is 3pi//4.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec a , vec b and vec c are non-coplanar unit vectors such that vec axx( vec bxx vec c)=( vec b+ vec c)/(sqrt(2)) , then the angle between vec a and vec b is a. 3pi//4 b. pi//4 c. pi//2 d. pi

veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b + z vec c = vec 0 then

If vec a , vec b , vec c are three non-coplanar vectors, prove that [ vec a+ vec b+ vec c vec a+ vec b vec a+ vec c]=-[ vec a vec b vec c]

If vec a and vec b be two non-collinear unit vector such that vec axx( vec axx vec b)=1/2 vec b , then find the angle between vec a and vec b .

Let vec a , vec b , vec c be the three unit vectors such that vec a+5 vec b+3 vec c= vec0 , then vec a. ( vec bxx vec c) is equal to

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 , vec c are three non coplanar vectors such that vec adot vec a= vec d vec b= vec ddot vec c=0 , then show that vec d is the null vector.

vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c=0. then find the value of vec a. vec b+ vec b.vec c+ vec c. vec a

If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b+ vec c= vec0 find the value of vec adot vec b+ vec bdot vec c+ vec cdot vec adot'

If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c= vec0, then write the value of vec a . vec b+ vec b . vec c+ vec c . vec a

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If vec a and vec b are two vectors such that | vec a|=2, |vecb|=3 and...

    Text Solution

    |

  2. Prove that vec R+([ vec Rdot( vecbetaxx( vecbetaxx vecalpha))] vecalp...

    Text Solution

    |

  3. If vec a , vec b ,and vec c are non-coplanar unit vectors such that...

    Text Solution

    |

  4. If vec r. vec a=0, vec r. vec b=1 \ and \ [[ vec r ,vec a, vec b]]=1,...

    Text Solution

    |

  5. If vec a and vec b are two given vectors and k is any scalar, then fi...

    Text Solution

    |

  6. vec a , vec ba n d vec c are three non-coplanar ,non-zero vectors an...

    Text Solution

    |

  7. If vector vec x satisfying vec xxx vec a+( vec xdot vec b) vec c= ve...

    Text Solution

    |

  8. Let hat a , hat b ,and hat c be the non-coplanar unit vectors. The...

    Text Solution

    |

  9. Find the vector of length 3 unit which is perpendicular to hat i+ h...

    Text Solution

    |

  10. If vec b is not perpendicular to vec c , then find the vector vec r...

    Text Solution

    |

  11. If vec a , vec ba n d vec c are three non coplanar vectors, then ( ...

    Text Solution

    |

  12. Let vec a , vec b and vec c be three non-zero vectors such that ve...

    Text Solution

    |

  13. Prove that ( vec a.hat i)( vec axx hat i)+( vec a.j)( vec axx hat j)+(...

    Text Solution

    |

  14. If ( vec axx vec b)^2+( vec a.vec b)^2=144 and | vec a|=4, then find t...

    Text Solution

    |

  15. A particle has an angular speed of 3 rad/s and the axis of rotation...

    Text Solution

    |

  16. Find the moment of vec F about point (2, -1, 3), where force vec ...

    Text Solution

    |

  17. Given | vec a|=| vec b|=1a n d| vec a+ vec b|=sqrt(3). If vec c is a ...

    Text Solution

    |

  18. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

    Text Solution

    |

  19. Statement 1: vec a , vec b ,a n d vec c are three mutually perpend...

    Text Solution

    |

  20. If the volume of a parallelepiped whose adjacent edges are vec a=2...

    Text Solution

    |