Home
Class 12
MATHS
If the volume of parallelopiped formed b...

If the volume of parallelopiped formed by the vectors `hati+lamdahatj+hatk,hatj+lamdahatk` and `lamdahati+hatk` is minimum then `lamda` is equal to (1) `-(1)/(sqrt(3))` (2) `(1)/(sqrt(3))` (3) `sqrt(3)` (4)`-sqrt(3)`

A

`-(1)/(sqrt(3))`

B

`(1)/(sqrt(3))`

C

`sqrt(3)`

D

`-sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The value of a, such that the volume of the parallelopiped formed by the vectors hati+hatj+hatk, hatj+ahatk and ahati+hatk becomes minimum, is

The value of a so thast the volume of parallelpiped formed by vectors hati+ahatj+hatk, hatj+ahatk, ahati+hatk becomes minimum is (A) sqrt93) (B) 2 (C) 1/sqrt(3) (D) 3

The vectors lamdahati+hatj+2hatk,hati+lamdahatj-hatkand2hati-hatj+lamdahatk are coplanar, if

The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk are collinear, of lamda is equal to (A)3 (B)4 (C)5 (D)6

For what values of lamda are the vectors lamdahati+2hatj+hatk,3hati+2hatj,lamda i+j are coplanar.

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are parallel

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

Find the volume of the parallelopiped whose edges are represented by a=2hati-3hatj+4hatk,b=hati+2hatj-hatk and c=3hati-hatj+2hatk .

If the vectors a hati + 3 hatj - 2 hatk and 3 hati - 4 hatj + b hatk are collinear, then (a,b) =

Find the volume of a parallelopiped whose edges are represented by the vectors: veca =2hati-3hatj-4hatk, vecb=hati+2hatj-2hatk, and vecc=3hati+hatj+2hatk .

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Consider f(x)=xsqrt(kx-x^(2)) for xepsilon [0, 3]. Let m be the smalle...

    Text Solution

    |

  2. Let S(n) denote the sum of the first n terms of an A.P.. If S(4)=16 an...

    Text Solution

    |

  3. If the volume of parallelopiped formed by the vectors hati+lamdahatj+h...

    Text Solution

    |

  4. If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-...

    Text Solution

    |

  5. The derivative of tan^(-1) ((sinx -cosx)/(sinx +cosx)), with respect t...

    Text Solution

    |

  6. The angle of elevation of the loop of a vertical tower standing on a h...

    Text Solution

    |

  7. If the equation cos 2x+alpha sinx=2alpha-7 has a solution. Then range ...

    Text Solution

    |

  8. A plane which bisects the angle between the two given planes 2x - y +2...

    Text Solution

    |

  9. A plane electromagnetic wave of frequency 50 MHz travels in free space...

    Text Solution

    |

  10. Three charges +Q, q, +Q are placed respectively, at distance, 0, d...

    Text Solution

    |

  11. A copper wire is stretched to make it 0.5% longer. The percentage chan...

    Text Solution

    |

  12. A sample of radioactive material A, that has an activity of 10 mCi(1 C...

    Text Solution

    |

  13. In the given circuit the current through Zener Diode is close to :

    Text Solution

    |

  14. There are two long co-axial solenoids of same length l. The inner and ...

    Text Solution

    |

  15. If the deBroglie wavelenght of an electron is equal to 10^-3 times the...

    Text Solution

    |

  16. एक प्रगामी आवर्ती तरंग को समीकरण y(x, y) = 10^(-3) sin(50t + 2x) से नि...

    Text Solution

    |

  17. AN ideal battery of 4 V and resistance R are connected in series i...

    Text Solution

    |

  18. for the given cyclic process CAB as shown for a gas , the work don...

    Text Solution

    |

  19. Determine the electric dipole moment of the syatem of three charg...

    Text Solution

    |

  20. the position vector of the centre of mass lt to r cm of an as...

    Text Solution

    |