Home
Class 12
MATHS
Find the values of lamda for which the a...

Find the values of `lamda` for which the angle between the vectors `veca=2lamda^(2)hati+4lamdahatj+hatk` and `vecb=7hati-2hatj+lamdahatk` is obtuse.

Text Solution

Verified by Experts

The correct Answer is:
`0ltlamdalt1/2`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE - III : TRUE RO FALSE QUESTIONS)|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS:|56 Videos

Similar Questions

Explore conceptually related problems

Find x for which the angle between the vectors veca=2x^2hati+4xhatj+hatk and vecb=7hati-2hatj+xhatk is obtuse.

Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=hati-2hatj-3hatk .

Find the angle between the vectors : veca=hati+hatj-hatk and vecb=hati-hatj+hatk .

Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+hatj-hatk .

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

    Text Solution

    |

  2. The vectors veca=3hati+xhatj and vecb=2hati+hatj+yhatk are mutually pe...

    Text Solution

    |

  3. Find the values of lamda for which the angle between the vectors veca=...

    Text Solution

    |

  4. If veca and vecb are two unit vectors such that veca+vecb is also a un...

    Text Solution

    |

  5. If veca and vecb are two vectors such that |veca+vecb|=|veca|, then pr...

    Text Solution

    |

  6. Write the projection of the vector 7hati+hatj+4hatk on the vector 2hat...

    Text Solution

    |

  7. If veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3ha...

    Text Solution

    |

  8. Express the veca=5hati-2hatj+5hatk as sum of two vectors such that one...

    Text Solution

    |

  9. Show that the point whose position vectors are veca=4hati-3hatj+hatk,v...

    Text Solution

    |

  10. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  11. If a unit vector veca makes angle (pi)/(4) with hati , (pi)/(3) with ...

    Text Solution

    |

  12. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

    Text Solution

    |

  13. Dot product of a vector with vectors hati-hatj+hatk,2hatk+hatj+3hatk a...

    Text Solution

    |

  14. If veca+vecb+vecc=vec0 and |veca|=3,|vecb|=5,|vecc|=7, show that the a...

    Text Solution

    |

  15. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  16. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  17. If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and...

    Text Solution

    |

  18. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |

  19. Using vectors, prove that a parallelogram whose diagonals are equal is...

    Text Solution

    |

  20. For any vector veca the value of (vecaxxhati)^(2)+(vecaxxhatj)^(2)+(ve...

    Text Solution

    |