Home
Class 12
MATHS
Let vec a=x hat i+12 hat j- hat k , vec...

Let ` vec a=x hat i+12 hat j- hat k , vec b=2 hat i+2x hat j+ hat ka n d vec c= hat i+ hat kdot` If the ordered set `[ vec b vec c vec a]` is left handed, then find the values of `xdot`

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= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and vec c=z hat i+x hat j+y hat k , then vec axx( vec bxx vec c) is

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d vec c= hat i+ hat j-2 hat k be three vectors. A vector in the plane of vec ba n d vec c , whose projection on vec a is of magnitude sqrt(2//3) , is a. 2 hat i+3 hat j-3 hat k b. 2 hat i-3 hat j+3 hat k c. -2 hat i- hat j+5 hat k d. 2 hat i+ hat j+5 hat k

Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i- hat j- hat k be three vectors. A vector vec v in the plane of vec a a n d vec b , whose projection on vec c is 1/(sqrt(3)) is given by a. hat i-3 hat j+3 hat k b. -3 hat i-3 hat j+3 hat k c. 3 hat i- hat j+3 hat k d. hat i+3 hat j-3 hat k

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 kdot

If vec a = -hat i+hat j+2 hat k, vec b= 2 hati- hatj- hat k , and vec c = -2hat i+hat j+3 hatk then find the angle between 2 vec a- vec c and veca+ vecb .

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If veca , vecb , vecc are position vectors of the vertices A, ...

    Text Solution

    |

  17. A , B , Ca n dD are any four points in the space, then prove that | ...

    Text Solution

    |

  18. Find the area of the parallelogram whose adjacent sides are determin...

    Text Solution

    |

  19. Using vectors, find the area of the triangle with vertices A (1, 1,...

    Text Solution

    |

  20. Let vec a , vec ba n d vec c be three verctors such that vec a!=0...

    Text Solution

    |