Home
Class 12
MATHS
Find the all the values of lamda such th...

Find the all the values of lamda such that `(x,y,z)!=(0,0,0)`and `x(hati+hatj+3hatk)+y(3hati-3hatj+hatk)+z(-4hati+5hatj)=lamda(xhati+yhatj+zhatk)`

Text Solution

Verified by Experts

The correct Answer is:
0,-1
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

The value of lambda in R such that (x, y, z) ne (0, 0, ) and (2hati+3hatj-4hatk)x+(3hati-hatj+2hatk)y+(i-2hatj)z = lambda(xhati+yhatj+zhatk) lies in

If (x,y,z) ne (0,0,0) and (hati + hatj +3hatk )x + (3 hati - 3 hatj + hatk )y +(-4 hati + 5 hatj ) z = a (x hati + y hatj + z hatk ), then the values of a are

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

Find the value of lamda such that the vectors veca=2hati+lamdahatj+hatkandvecb=hati+2hatj+3hatk are orthogonal.

Find the values of x,y and z so that vectors veca=xhati+4hatj+zhatk and vecb=3hati+yhatj+hatk are equal.

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

Find the shortest distance vecr=hati+2hatj+3hatk+lambda(hati-3hatj+2hatk)and vecr= 4hati+5hatj+6hatk+mu(2hati+3hatj+hatk) .

The number of distinct values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

The number of distinct real values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

The value of lamda for which the four points 2hati+3hatj-hatk,hati+2hatj+3hatk,3hati+4hatj-2hatk and hati-lamdahatj+6hatk are coplanar.

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  2. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

    Text Solution

    |

  3. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

    Text Solution

    |

  4. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

    Text Solution

    |

  9. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  10. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

    Text Solution

    |

  11. If vectors, vecb, vecc and vecd are not coplanar, the prove that vecto...

    Text Solution

    |

  12. If c is a given non - zero scalar, and vecA and vecB are given non- ze...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. Two triangles ABC and PQR are such that the perpendiculars from A to Q...

    Text Solution

    |

  15. Find the position vector of the mid point of the vector joining the p...

    Text Solution

    |

  16. Prove, by vector method or otherwise, that the point of intersectio...

    Text Solution

    |

  17. Let veca, vecb and vecc be non - coplanar unit vectors, equally inclin...

    Text Solution

    |

  18. If vecA,vecB,vecC are three vectors respectively given by 2hati+hatk, ...

    Text Solution

    |

  19. If vectors veca, vecb and vecc are coplanar, show that |{:(veca, vecb,...

    Text Solution

    |

  20. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

    Text Solution

    |