Home
Class 12
MATHS
In a quadrilateral A B C D , vec A C is ...

In a quadrilateral `A B C D , vec A C` is the bisector of ` vec A Ba n d vec A D` , angle between ` vec A Ba n d vec A D` is `2pi//3` , `15| vec A C|=3| vec A B|=5| vec A D|dot` Then the angle between ` vec B Aa n d vec C D` is `cos^(-1)(sqrt(14))/(7sqrt(2))` b. `cos^(-1)(sqrt(21))/(7sqrt(3))` c. `cos^(-1)2/(sqrt(7))` d. `cos^(-1)(2sqrt(7))/(14)`

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\ a n d\ vec b are two vectors such that | vec a|=| vec axx vec b|, write the angle between vec a\ a n d\ vec bdot

If vec a+ vec b+ vec c= vec0,\ vec|a|=3,\ | vec b|=5\ a n d\ | vec c|=7 find the anglebetweeen vec a\ a n d\ vec b

If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n d|"" vec c|=2 , then angle between vec aa n d"" vec b is

Find the angle between two vectors vec a\ a n d\ vec b ,\ if:| vec a|=3,\ | vec b|=3\ a n d\ vec adot vec b=1

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\ a n d\ vec adot vec b=1, find the angle between vec a\ a n d\ vec b .

Let vec a , vec b , vec c be unit vectors such that vec adot vec b= vec adot vec c=0 and the angle between vec ba n d vec c is pi/6,t h a t vec a=+-2( vec bxx vec c)dot

If vec a\ a n d\ vec b are two vectors such that | vec a|=4,\ | vec b|=3\ a n d\ vec adot vec b=6. Find the angle between vec a\ a n d\ vec bdot

If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, vec c=lambda vec axx vec b , angle, between vec aa n d vec b is (2pi)/3,| vec a|=sqrt(2),| vec b|=sqrt(3)a n d| vec c|=1/(sqrt(3)) , then the angel between vec aa n d vec b is pi/6 b. pi/4 c. pi/3 d. pi/2

Vectors vec a\ a n d\ vec b are such that | vec a|=3,\ | vec b|=2/3a n d\ ( vec axx vec b) is a unit vector. Write the angle between vec a\ a n d\ vec bdot

If | vec a|=2,\ | vec b|=7\ a n d\ vec axx vec b=3 hat i+2 hat j+6 hat k ,\ find the angle between vec a\ a n d\ vec bdot

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Given that vec a , vec b , vec p , vec q are four vectors such that ...

    Text Solution

    |

  2. In AB, DE and GF are parallel to each other and AD, BG and EF ar para...

    Text Solution

    |

  3. In a quadrilateral A B C D , vec A C is the bisector of vec A Ba n d ...

    Text Solution

    |

  4. Position vector hat k is rotated about the origin by angle 135^0 in...

    Text Solution

    |

  5. A non-zero vector vec a is such that its projections along vectors ...

    Text Solution

    |

  6. Let vec a=2 hati+hat j+ hat k , vec b=hat i+2hat j- hatk and a unit v...

    Text Solution

    |

  7. Let vec a=2i+j-2ka n d vec b=i+jdot If vec c is a vector such that ...

    Text Solution

    |

  8. Let A B C D be a tetrahedron such that the edges A B ,A C and A D ar...

    Text Solution

    |

  9. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i...

    Text Solution

    |

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

    Text Solution

    |

  11. Let vec u , vec v and vec w be vectors such that vec u+ vec v+ vec w...

    Text Solution

    |

  12. If vec a , vec b and vec c are three non-coplanar vectors, then ( v...

    Text Solution

    |

  13. Let vec pa n d vec q be any two orthogonal vectors of equal magnitu...

    Text Solution

    |

  14. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

    Text Solution

    |

  15. Find a unit vector perpendicular to each of the vectors ( vec a+ vec...

    Text Solution

    |

  16. Consider three vectors vec a , vec b and vec c Statement 1 vec axx...

    Text Solution

    |

  17. Column I, Column II The possible value of vec a if vec r=( hat i+ ha...

    Text Solution

    |

  18. If vec A, vec B and vec C are vectors such that |vec B|-|vec C|. Prove...

    Text Solution

    |

  19. A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b...

    Text Solution

    |

  20. Statement 1: Vector vec c=-5 hat i+7 hat j+2 hat k is along the bisec...

    Text Solution

    |