Home
Class 12
MATHS
Let vec u and vec v be unit vectors suc...

Let ` vec u` and `vec v` be unit vectors such that ` vec uxx vec v+ vec u= vec w` and ` vec wxx vec u= vec v`. Find the value of `[ vec u \ vec v \ vec w]`.

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

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 , vec ca n d vec d are distinct vectors such that vec axx vec c= vec bxx vec da n d vec axx vec b= vec cxx vec d , prove that ( vec a- vec d). (vec b- vec c)!=0,

If vec a , vec b , vec ca n d vec d are distinct vectors such that vec axx vec c= vec bxx vec da n d vec axx vec b= vec cxx vec d , prove that ( vec a- vec d). (vec b- vec c)!=0,

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 and vec b are unit vectors such that ( vec a+ vec b).[(2 vec a+3 vec b)xx(3 vec a-2 vec b)]=0 , then angle between veca and vec b is

Let vec u , vec v and vec w be vectors such that vec u+ vec v+ vec w=0. If | vec u|=3,| vec v|=4 and | vec w|=5, then vec u. vec v+ vec v.vec w+ vec w.vec u is a. 47 b. -25 c. 0 d. 25

If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a- vec b|dot

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 unit vectors such that vec a. vec b=0= vec a. vec c and the angle between vec b and vec c is pi/3, then find the value of | vec axx vec b- vec axx vec c| .

Let vec a , vec ba n d vec c be unit vectors, such that vec a+ vec b+ vec c= vec x , vec a dot vec x=1, vec b dot vec x=3/2,| vec x|=2. Then find the angle between vec c and vec x

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If ( vec axx vec b)xx( vec cxx vec d).( vec axx vec d)=0 , then which ...

    Text Solution

    |

  2. Vector 1/3(2hati-2hatj+hatk) is (A) a unit vector (B) makes an angle ...

    Text Solution

    |

  3. Let vec u and vec v be unit vectors such that vec uxx vec v+ vec u= ...

    Text Solution

    |

  4. The scalars l and m such that l vec a+m vec b= vec c ,where vec a , v...

    Text Solution

    |

  5. If O A B C is a tetrahedron where O is the origin and A ,B ,a n dC are...

    Text Solution

    |

  6. If K is the length of any edge of a regular tetrahedron, then the dist...

    Text Solution

    |

  7. In triangle A B C , a point P is taken on A B such that A P//B P=1//3...

    Text Solution

    |

  8. Let A B C D be a parallelogram whose diagonals intersect at P and le...

    Text Solution

    |

  9. Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i...

    Text Solution

    |

  10. if vec a=2 hat i- 3 hat j+hat k and vec b=hat i+2 hat j- 3hat k then...

    Text Solution

    |

  11. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and v...

    Text Solution

    |

  12. Find | -> axx -> b|, if -> a=2 hat i+ hat j+3 hat k and -> b=3 hat i...

    Text Solution

    |

  13. find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat ...

    Text Solution

    |

  14. The lengths of two opposite edges of a tetrahedron are a and b ; the...

    Text Solution

    |

  15. Volume of the parallelopiped whose adjacent edges are vectors veca ...

    Text Solution

    |

  16. Column I, Column II If | vec a+ vec b|=| vec a+2 vec b| , then angel b...

    Text Solution

    |

  17. If vectors vec A=2 hat i+3 hat j+4 hat k , vec B= hat i+ hat j+5 hat ...

    Text Solution

    |

  18. Let a=2i−j+k , b=i+2j−k and c=i+j−2k be three vectors. A vector r in ...

    Text Solution

    |

  19. Vectors vec Aa n d vec B satisfying the vector equation vec A+ v...

    Text Solution

    |

  20. if vecalpha||( vecbetaxx vecgamma) , then ( vecalphaxxbeta).(vecalpha...

    Text Solution

    |