Home
Class 12
MATHS
The angles of triangle, two of whose s...

The angles of triangle, two of whose sides are represented by vectors `sqrt(3)( vec axx vec b) \a n d \ vec b-( hat adot vec b) hat a ,w h e r e vec b` is a non zero vector and ` hat a` is unit vector in the direction of ` vec a ,` are

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

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=sqrt3\ a n d\ vec adot vec b=1, find the angle between vec a\ a n d\ vec b .

Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i+ hat j+ hat kdot

Given that vec adot vec b= vec adot vec c , vec axx vec b= vec axx vec c and vec a is not a zero vector. Show that vec b= vec c dot

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a= hat i- hat j+3 hat ka n d vec b=2 hat i-7 hat j+ hat kdot

If vec r. hat i= vec r.hat j= vec r.hat ka n d| vec r|=3, then find the vector vec rdot

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

Find a unit vector perpendicular to each of the vectors ( vec a+ vec b) and ( vec a- vec b) , where vec a= hat i+ hat j+ hat k , vec b= hat i+2 hat j+3 hat k .

If vec a.hat i= vec a.( hat i+ hat j)= vec a.( hat i+ hat j+ hat k) , then find the unit vector vec a

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vec a+2 vec b+3 vec c=0,t h e n vec axx vec b+ vec bxx vec c+ vec ...

    Text Solution

    |

  2. If vec a \ a n d \ vec b are two non-collinear unit vector, and ...

    Text Solution

    |

  3. The angles of triangle, two of whose sides are represented by vector...

    Text Solution

    |

  4. vec a , vec b ,a n d vec c are unimodular and coplanar. A unit vector...

    Text Solution

    |

  5. Vectors perpendicular to hat i- hat j- hat k and in the plane of hat...

    Text Solution

    |

  6. If side vec A B of an equilateral trangle A B C lying in the x-y plan...

    Text Solution

    |

  7. If vec a, vec b,vec c and vec d are unit vectors such that (vec a xx v...

    Text Solution

    |

  8. Let two non-collinear unit vector hat a a n d hat b form an acute a...

    Text Solution

    |

  9. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  10. If vec a , vec b and vec c are three non-zero, non coplanar vector...

    Text Solution

    |

  11. The unit vector which is orthogonal to the vector 3 hat i+2 hat j+6 ...

    Text Solution

    |

  12. If vec a and vec b are unequal unit vectors such that ( vec a- vec ...

    Text Solution

    |

  13. If veca,vecb,vecc are 3 unit vectors such that vecaxx(vecbxxvecc)=vec...

    Text Solution

    |

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

    Text Solution

    |

  15. A vector vec d is equally inclined to three vectors vec a= hat i+ ...

    Text Solution

    |

  16. If axx(bxxc)=(axxb)xxc , then a. ( vec cxx vec a)xx vec b= vec0 b. v...

    Text Solution

    |

  17. If hat a , hat b ,a n d hat c are three unit vectors inclined to ea...

    Text Solution

    |

  18. Let the pairs a , b,and c ,d each determine a plane. Then the planes a...

    Text Solution

    |

  19. P(vec p) and Q(vec q) are the position vectors of two fixed points and...

    Text Solution

    |

  20. Two adjacent sides of a parallelogram A B C D are 2 hat i+4 hat j-5 ...

    Text Solution

    |