Home
Class 12
MATHS
The set of values of lambda for which th...

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]`

A

`(-oo,0)`

B

`(0oo,-4//3)`

C

`(-4//3,0)`

D

`(-4//3,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

The set of values of lambda for which the vectors vec a=(lambda log_(2)x)hat i-6hat j+3hat k and vec b=(log_(2)x)hat i+2hat j+(2 lambda log_(2)x)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 c for which the vectors vec a=(c log_(2)x)hat i-6hat j+3hat k and vec b=((log_(2)x)hat i+2hat j+(2c(log)_(2)x)hat k make an obtuse angle for any x in(0,oo)

Find lambda, when the projection of vec a=lambdahat i+hat j+4hat k on vec b=2hat i+6hat j+3hat k is 4 units.

Write the value of lambda so that the vector vec a=2hat i+lambdahat j+hat k and vec b=hat i-2hat j+3hat j are perpendicular to each other.

The number of distinct real values of lambda, for which the vectors -lambda^(2)hat i+hat j+k,hat i-lambda^(2)hat j+hat k and hat i+hat j-lambda^(2)hat k are coplanar is a.zero b.one c.two d.three

The value of lambda for which the two vectors vec(a) = 5hat(i) + lambda hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + hat(k) are perpendicular to each other is :

Find the value of lambda so that the vectors vec a=2hat i+lambdahat j+hat k and vec b=hat i-2hat j+3hat k are perpendicular to each other.

For what value of lambda asre the vector vec a=2hat i+lambdahat j+hat k and vec b=hat i-2hat j+3hat k perpendicular to each other?

For what value of lambda are the vectores vec a=2hat i+lambdahat j+hat k and vec b=hat i-2hat j+3hat k perpendicular to each other?

For what value lambda are the vectors vec a=2hat i+lambdahat j+hat k and vec b=hat i-2hat j+3hat k perpendicular to each other?

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

    Text Solution

    |

  2. If the vectors a = (2, log(3)x,lambda) and b = (-3,lambdalog(3) x, log...

    Text Solution

    |

  3. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  4. The values of x for which the angle between the vectors veca =xhati -...

    Text Solution

    |

  5. The vectors a = 2lambda^(2) i+4lambdaj+k and b=7i-2j+lambdak make an o...

    Text Solution

    |

  6. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

    Text Solution

    |

  7. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  8. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

    Text Solution

    |

  9. If |a| = |b|, then (a +b). (a-b) is

    Text Solution

    |

  10. A vector a has components 2p and 1 with respect to a rectangular cart...

    Text Solution

    |

  11. Let a =i+j+pk and b=i+j+k, |a+b| =|a| +|b| , holds for

    Text Solution

    |

  12. If x and y are two unit vectors and phi is the angle between them, the...

    Text Solution

    |

  13. Let hat(a), hat(b) be two unit vectors and theta be the angle between...

    Text Solution

    |

  14. (a +b). (a-b) =0 implies that

    Text Solution

    |

  15. The vectors vec A and vec B are such that |vec A + vec B | = |vec A - ...

    Text Solution

    |

  16. (a + b) xx (a-b) is equal to

    Text Solution

    |

  17. If u = a-b, v =a + b and |a| = |b| = 2, then |u xx v| is

    Text Solution

    |

  18. Let vec aa n d vec b be two non-collinear unit vector. If vec u= vec...

    Text Solution

    |

  19. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

    Text Solution

    |

  20. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

    Text Solution

    |