Home
Class 12
MATHS
The value of x for which the angle betwe...

The value of `x` for which the angle between ` vec a=2x^2 hat i+4x hat j+ hat ka n d vec b=7 hat i-2 hat j+ hat k` is obtuse and the angle between `b` and the z-axis acute and less than `pi//6` is given by

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 the value of x for which the angle between the vectors vec a=2x^2 hat i+4x hat j+ hat k\ a n d\ vec b=7 hat i-2 hat j+x hat k is obtuse.

Find the angle between the vectors vec a= hat i- hat j+ hat k\ a n d\ vec b= hat i+ hat j- hat kdot

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

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

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

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

Find the angle between vec(A) = hat(i) + 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k)

Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a n d vec rdot( hat i+ hat j+2 hat k)=5.

find the cosine of the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

If vec a=x hat i+(x-1) hat j+ hat k and vec b=(x+1) hat i+ hat j+a hat k make an acute angle AAx in R , then find the values of adot

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Vectors 3 vec a-5 vec b and 2 vec a+ vec b are mutually perpendicular....

    Text Solution

    |

  2. If vectors vec a and vec b are two adjacent sides of a parallelogra...

    Text Solution

    |

  3. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

    Text Solution

    |

  4. Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and th...

    Text Solution

    |

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

    Text Solution

    |

  6. Let the position vectors of the points Pa n dQ be 4 hat i+ hat j+lam...

    Text Solution

    |

  7. If a \ a n d \ c are unit vectors and |b|=4 . The angel between aa n d...

    Text Solution

    |

  8. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero ve...

    Text Solution

    |

  9. Let vec a , vec b , a n d vec c be three non-coplanar vectors and ...

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 36. If vec a, vec b,vec c and vec d are unit vectors such that (vec a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

    Text Solution

    |

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

    Text Solution

    |