Home
Class 12
MATHS
Let vecb= 4 hati + 3hatj and vecc be two...

Let `vecb= 4 hati + 3hatj and vecc` be two vectors perpendicular to each other in the xy- plane. All vectors in the sme plane having projections 1 and 2 along `vecb and vecc`., respectively, are given by ________

Text Solution

Verified by Experts

The correct Answer is:
`2hati - hatj, (11hatj -2hati)/5`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

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

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|60 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

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

Similar Questions

Explore conceptually related problems

Let vecb=4hati+3hatj and vecc be two vectors perpendicular to each other in the xy-plane. Find all vetors in te same plane having projection 1 and 2 along vecb and vecc respectively.

If vecA = (2hati + 3hatj) and vecB =(hati - hatj) then component of vecA perpendicular to vector vecB and in the same plane is:

Let veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc be a unit vector perpendicular to veca and coplanar with veca and vecb , then it is given by

Let veca be a unit vector perpendicular to unit vectors vecb and vecc and if the angle between vecb and vecc " is " alpha , " then " vecb xx vecc is

If veca, vecb and vecc are three units vectors equally inclined to each other at an angle alpha . Then the angle between veca and plane of vecb and vecc is

If veca and vecb are two unit vectors perpendicular to each other and vecc=lamda_1veca+lamda_2vecb+lamda_3(vecaxxvecb) then the following is (are) true

If veca,vecb and vecc are three non-coplanar vectors then the length of projection of vector veca in the plane of the vectors vecb and vecc may be given by

Find a unit vector perpendicular to the plane of two vectors veca and vecb where veca=hati-hatj and vecb=hatj+hatk

Let the pair of vector veca,vecb and vecc,vecd each determine a plane. Then the planes are parallel if

The number of unit vectors perpendicular to the plane of vectors veca=2hati-6hat j-3hatk and vecb=4hati+3hatj-hatk is/are

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE)
  1. Let PQR be a triangle . Let veca=overline(QR),vecb = overline(RP) and ...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  4. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  5. The components of a vector veca along and perpendicular to a non-zero ...

    Text Solution

    |

  6. A, B C and D are four points in a plane with position vectors, veca, v...

    Text Solution

    |

  7. Let vecA , vecB and vecC be vectors of legth , 3,4and 5 respectively. ...

    Text Solution

    |

  8. If vecb and vecc are any two mutually perpendicular unit vectors and v...

    Text Solution

    |

  9. Find a unit vector pependicular to the plane determined by the points ...

    Text Solution

    |

  10. the area of the triangle whose vertices are A ( 1,-1,2) , B ( 1,2, -1)...

    Text Solution

    |

  11. Let vec(OA) =veca, vec(OB) = 10veca + 2vecb and vec(OC) =vecb where , ...

    Text Solution

    |

  12. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

    Text Solution

    |

  13. If vecA,vecB,vecC are non-coplanar vectors than ( vecA . vecB xx vecC...

    Text Solution

    |

  14. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and vectors (1,a,a^2)...

    Text Solution

    |

  15. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

    Text Solution

    |

  16. A non vector veca is parallel to the line of intersection of the plane...

    Text Solution

    |

  17. The vector(s) which is /are coplanar with vectors hati +hatj + 2hatk a...

    Text Solution

    |

  18. Let vecb= 4 hati + 3hatj and vecc be two vectors perpendicular to each...

    Text Solution

    |

  19. If vecA = ( 1,1,1) and vecC= (0, 1,-1) are given vectors the vector ve...

    Text Solution

    |

  20. Consider the cube in the first octant with sides OP,OQ and OR of lengt...

    Text Solution

    |