Home
Class 12
MATHS
Find the value of c for which the vector...

Find the value of `c` for which the vectors ` vec a=(clog_2x) hat i-6 hat j+3 hat ka n d vec b=((log)_2x) hat i+2 hat j+(2c(log)_2x) hat k` make an obtuse angle for any `x in (0,oo)` .

Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples: Passage Based Type Questions|3 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|12 Videos
  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Find the value of c for which the vectors vec a=(clog_2x) hat i-6 hat j+3 hat k and vec b=((log)_2x) hat i+2 hat j+(2c(log)_2x) hat k make an obtuse angle for any x in (0,oo) .

The set of values of lambda for which the vectors vec a=(lambda(log)_2x) hat i-6 hat j+3 hat ka n d vec b=((log)_2x) hat i+2 hat j+(2lambda(log)_2x) hat k make an obtuse angle for any x in (0,oo) (0,4/3) (b) (-4/3,0) (4/3,oo) (d) (-4/3,0]

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 values of x, y and z so that the vectors vec a=x hat i+2 hat j+z hat k and vec b=2 hat i+y hat j+ hat k are equal.

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

Find the least positive integral value of x for which the angle between vectors vec a=x hat i-3 hat j- hat k and vec b=2x hat i+x hat j- hat k is acute.

Find the value of x ,\ y\ a n d\ z so that the vectors vec a=x hat i+2 hat j+z hat k\ a n d\ vec b=2 hat i+y hat j+ hat k are equal.

Determine the value of c so that for all real x , vectors c x hat i-6 hat j-3 hat k and x hat i+2 hat j+2c x hat k make an obtuse angle with each other.

Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Find the unit vector in the direction of vec a+ vec b ,\ if\ vec a=2 hat i- hat j+2 hat k\ a n d\ vec b=- hat i+ hat j- hat kdot

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the value of c for which the vectors vec a=(clog2x) hat i-6 hat ...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. Let vec a , vec b and vec c be three non-zero vectors such that no ...

    Text Solution

    |

  7. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

    Text Solution

    |

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

    Text Solution

    |

  10. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  11. Let P,Q R and S be the points on the plane with position vectors -2hat...

    Text Solution

    |

  12. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  16. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

    Text Solution

    |

  17. The number of distinct real values of lambda , for which the vectors...

    Text Solution

    |

  18. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

    Text Solution

    |

  19. Let vec A be a vector parallel to the line of intersection of plan...

    Text Solution

    |

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

    Text Solution

    |

  21. The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...

    Text Solution

    |