Home
Class 12
MATHS
If the vectors vec c , vec a=x hat i+y ...

If the vectors ` vec c , vec a=x hat i+y hat j+z hat k and vec b= hat j` are such that ` vec a , vec c and vec b` form a right-handed system, then find ` vec c dot`

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

Find vec a +vec b if vec a = hat i - hat j and vec b =2 hat i

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat k

If vec a= hat i- hat j and vec b=- hat j+2 hat k , find ( vec a-2 vec b)dot( vec a+ vec b)dot

If vec a= hat i+3 hat j-2 hat k\ a n d\ vec b=- hat i+3 hat k ,\ find \ | vec axx vec b|dot

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

If vec a= hat i+ hat j+ hat k\ a n d vec b= hat j- hat k , find a vector vec c such that vec a\ "x"\ vec c= vec b and vec adot\ vec c=3

If vec a= hat i- hat j\ a n d\ vec b=- hat j+ hat k find the projection of vec a\ on\ vec bdot

If vec a=3 hat i- hat j-2 hat k and vec b=2 hat i+3 hat j+ hat k , find ( vec a+2 vec b)xx(2 vec a- vec b)dot

If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec a . vec c=2 and vec axx vec c= vec bdot

If vec a=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec a-2 vec b|dot

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If vec axx vec b= vec bxx vec c!=0,w h e r e vec a , vec b ,a n d vec...

    Text Solution

    |

  2. If vec a=2 vec i+3 vec j- vec k , vec b=- vec i+2 vec j-4 vec k a n d...

    Text Solution

    |

  3. If the vectors vec c , vec a=x hat i+y hat j+z hat k and vec b= hat j...

    Text Solution

    |

  4. Given that vec adot vec b= vec adot vec c , vec axx vec b= vec axx ve...

    Text Solution

    |

  5. If | vec a|=5,| vec a- vec b|=8 and | vec a+ vec b|=10 , then find | v...

    Text Solution

    |

  6. If A ,B ,C ,D are four distinct point in space such that vec(A B) is...

    Text Solution

    |

  7. If vec a=2 hat i+3 hat j-5 hat k , vec b=m hat i+n hat j+12 hat k and...

    Text Solution

    |

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

    Text Solution

    |

  9. Prove that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b) and inte...

    Text Solution

    |

  10. vec a , vec ba n d vec c are unit vectors such that | vec a+ vec b+3 v...

    Text Solution

    |

  11. Prove that [[ vec a+ vec b, vec b+ vec c, vec c+ vec a]]=2[ [vec a, ve...

    Text Solution

    |

  12. Let A,B,C be three unit vectors and A.B= A.C=0. If the angel between ...

    Text Solution

    |

  13. The position vectors of the four angular points of a tetrahedron ar...

    Text Solution

    |

  14. If the vectors 2 hat i-3 hat j , hat i+ hat j- hat ka n d3 hat i- hat ...

    Text Solution

    |

  15. If vec u , vec v and vec w are three non-coplanar vectors, then pro...

    Text Solution

    |

  16. Find the value of a so that the volume of the parallelepiped formed...

    Text Solution

    |

  17. If vec a=2 hat i+3 hat j-5 hat k , vec b=m hat i+n hat j+12 hat k and...

    Text Solution

    |

  18. Prove that [ vec l vec m vec n][ vec a vec b vec c]=| (vec l. vec a, v...

    Text Solution

    |

  19. Find the altitude of a parallelepiped whose three coterminous edtge...

    Text Solution

    |

  20. If vec a and vec b are two vectors such that | vec a|=2, |vecb|=3 and...

    Text Solution

    |