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 ________

A

`-2hati + hatj`

B

`-hati + 2hatj`

C

`hati - 2hatj`

D

`2hati - hatj`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 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 -LEVEL -1
  1. veca, vecb,vecc are non-coplanar vectors and vecp,vecq,vecr are define...

    Text Solution

    |

  2. If |veca|=3, |vecb|=1, |vecc|=4 and veca + vecb + vecc= vec0, find the...

    Text Solution

    |

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

    Text Solution

    |

  4. If vecd=lambda(vecaxxvecb)+mu(vecbxxvecc)+t(veccxxveca).[veca,vecbvecc...

    Text Solution

    |

  5. Let vecb and vecc be non-collinear vectors. If veca is a vector such t...

    Text Solution

    |

  6. Let O be the centre of a regular pentagon ABCDE and vec(OA) = veca, th...

    Text Solution

    |

  7. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  8. Given a parallelogram ABCD. If |AB|=a, |AD|=b, |AC|=c, then DB*AB has ...

    Text Solution

    |

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

    Text Solution

    |

  10. vecx and vecy are two mutually perpendicular unit vectors. If the vect...

    Text Solution

    |

  11. If non-zero vectors veca and vecb are perpendicular to each ot...

    Text Solution

    |

  12. The volume of the tetrahedron whose vertices are the points with posit...

    Text Solution

    |

  13. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

    Text Solution

    |

  14. ABC is isosceles triangle, right angled at A. The resultant of the for...

    Text Solution

    |

  15. If (atimesb)timesc=atimes(btimesc), where a, b and c are any three vac...

    Text Solution

    |

  16. Let veca, vecb and vecc be non-zero vectors such that no two are colli...

    Text Solution

    |

  17. If veca and vecb are mutually perpendicular unit vectors, vecris a vec...

    Text Solution

    |

  18. If V is the volume of the parallelepiped having three coterminous edge...

    Text Solution

    |

  19. Let G(1), G(2) and G(3) be the centroid of the triangular faces OBC, O...

    Text Solution

    |

  20. If hati, hatj, hatk are unit orthonormal vectors and veca is a vector,...

    Text Solution

    |