Home
Class 12
MATHS
If the vectors veca and vecb are perpend...

If the vectors `veca` and `vecb` are perpendicular to each other then a vector `vecv` in terms of `veca` and `vecb` satisfying the equations `vecv.veca=0, vecv.vecb=1` and `[(vecv, veca, vecb)]=1` is

A

`(vecb)/(|vecb|)+(vecaxxvecb)/(|vecaxxvecb|^(2))`

B

`(vecb)/(|vecb|^(2))+(vecaxxvecb)/(|vecaxxvecb|^(2))`

C

`(vecb)/(|vecb|)+(vecaxxvecb)/(|vecaxxvecb|)`

D

`(vecb)/(|vecb|)+(vecaxxvecb)/(|vecaxxvecb|)`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-C)|6 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-D) Comprehesion-I|3 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-A)|50 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Given that vectors veca and vecb asre perpendicular to each other, find vector vecv in erms of veca and vecb satisfying the equations vecv.veca=0, vecc.vecb=1 and [vecv veca vecb]=1

If the non zero vectors veca and vecb are perpendicular to each other, then the solution of the equation vecr xx veca=vecb is given by

If the vectors veca and vecb are mutually perpendicular, then veca xx {veca xx {veca xx {veca xx vecb}} is equal to:

Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and veca.vecc=0 . The vector veca is parallel to

Vectors vecA and vecB are mutually perpendicular . Component of vecA + vecB in the direction of vecA- vecB will be:

If veca and vecb be two non collinear vectors such that veca=vecc+vecd , where vecc is parallel to vecb and vecd is perpendicular to vecb obtain expression for vecc and vecd in terms of veca and vecb as: vecd= veca- ((veca.vecb)vecb)/b^2,vecc= ((veca.vecb)vecb)/b^2

If veca and vecb are mutually perpendicular unit vectors, vecr is a vector satisfying vecr.veca =0, vecr.vecb=1 and (vecr veca vecb)=1 , then vecr is:

If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4vecb are perpendicular to each other, then the angle between veca and vecb is

Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 and vecA. vecC=0. The vector vecA is parallel to

If veca,vecb are vectors perpendicular to each other and |veca|=2, |vecb|=3, vecc xx veca=vecb , then the least value of 2|vecc-veca| is

AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

    Text Solution

    |

  2. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

    Text Solution

    |

  3. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

    Text Solution

    |

  4. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

    Text Solution

    |

  5. A unit vector perpendicular to the plane passing through the points w...

    Text Solution

    |

  6. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

    Text Solution

    |

  7. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

    Text Solution

    |

  8. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

    Text Solution

    |

  9. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

    Text Solution

    |

  10. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

    Text Solution

    |

  11. If the verticles of a tetrahedron have the position vectors vec0, hati...

    Text Solution

    |

  12. If [(2veca+vecb)veccvecd]=lambda[vecaveccvecd]+mu[vecbveccvecd] then l...

    Text Solution

    |

  13. The unit vector veca and vecb are perpendicular, and the unit vector v...

    Text Solution

    |

  14. The position vectors of the sides of triangle are 3hati+4hatj+5hatk, h...

    Text Solution

    |

  15. Find the scaslars alpha and beta if vecaxx(vecbxxvecc)+(veca.vecb)vecb...

    Text Solution

    |

  16. Let veca=2hati+hatj-2hatk and vecb=hati+hatj. If vecc is a vector such...

    Text Solution

    |

  17. vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, v...

    Text Solution

    |

  18. Let veca, vecb and vecc be three vectors having magnitudes 1,1 and 2 r...

    Text Solution

    |

  19. If the vectors veca and vecb are perpendicular to each other then a ve...

    Text Solution

    |

  20. If veca,vecb,vecc are unit vectors such that veca is perpendicular to ...

    Text Solution

    |