Home
Class 12
MATHS
find three- dimensional vectors, vecv1, ...

find three- dimensional vectors,` vecv_1, vecv_2 and vecv_3" satisfying "vecv_(1) .vecv_(1) =4 ,
vecv_(1) .vecv_(2) = -2,
vecv_(1). Vec v_3 =6,
vecv_(2).vecv_(2) = 2 ,
vecv_(2) . Vecv_(3) = -5,
vecv_(3) .vecv_(3) = 29`

Text Solution

Verified by Experts

The correct Answer is:
`vecv_(1) =2hati, vecv_(2)=-hati + hatj` and `vecv_(3) =3hati - 2hatj +- 4hatk`
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

Let veca vecb and vecc be non- zero vectors aned vecV_(1) =veca xx (vecb xx vecc) and vecV_(2) = (veca xx vecb) xx vecc .vectors vecV_(1) and vecV_(2) are equal . Then

If vecu, vecv, vecw are three vectors such that [vecu vecv vecw]=1 , then 3[vecu vecv vecw]-[vecv vecw vecu]-2[vecw vecv vecu]=

Assertion : An object has given two velocities vecv_(1) and vecv_(2) has a resultant velocity vecv = vecv_(1) + vecv_(2) . Reason : vecv_(1) and vecv_(2) should be velocities with reference to some common reference frame.

The norm of vector vecV=3veci-sqrt2vecj is

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

If vector vecv=(1,sqrt(3)) and vector vecu=(3,-2) find the value of |3vecv-vecu|

Let vecu,vecv and vecw be vectors such that vecu+ vecv + vecw =0 if |vecu|= 3, |vecv|=4 and |vecw|=5 then vecu.vecv + vecv .vecw + vecw .vecu is (a) 47 (b) -25 (c) 0 (d) 25

Let vecu,vecv and vecw be vectors such that vecu+ vecv + vecw =0 if |vecu|= 3, |vecv|=4 and |vecw|=5 then vecu.vecv + vecv .vecw + vecw .vecu is

Let vecu,vecv and vecw be vectors such that vecu+ vecv + vecw =0 if |vecu|= 3, |vecv|=4 and |vecw|=5 then vecu.vecv + vecv .vecw + vecw .vecu is

If |vecV_1+vecV_2|=|vecV_1-vecV_2| and V_2 is finite, then

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

    Text Solution

    |

  2. If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX...

    Text Solution

    |

  3. find three- dimensional vectors, vecv1, vecv2 and vecv3" satisfying "...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  6. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. Let OACB be a parallelogram with O at the origin and OC a diagonal. Le...

    Text Solution

    |

  9. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |