Home
Class 12
MATHS
If veca=hati+hatj,vecb=hati-hatj, then v...

If `veca=hati+hatj,vecb=hati-hatj`, then `veca.vecb=`

A

`(1)/(3)`

B

`(2)/(3)`

C

`(4)/(3)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-B)|32 Videos

  • VECTOR ALGEBRA

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

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise TRY YOURSELF|20 Videos

  • TRIGNOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

If veca=hati+hatj+hatk, vecb=2hati-hatj and vecc=3hatj+hatk then verify the following: veca.(vecb+vecc)=veca.vecb+veca.vecc .

If veca=hati+hatj+hatk, vecb=2hati-hatj and vecc=3hatj+hatk then verify the following: (veca+vecb).(veca-vecb)=a^2-b^2 .

If veca=hati+hatj+hatk, vecb=hati-hatj+hatk, vec c=hati+2hatj-hatk , then the value of |(veca*veca,veca*vecb, veca*vecc),(vecb*veca, vecb *vecb,vecb*vecc),(vec c*veca, vec c*vec b,vec c*vec c)| is equal to :

veca=hati+2hatj+hatk,vecb=3(hati-hatj+hatk),veca.vecc=3&vecatimesvecc=vecb then veca.((vecctimesvecb)-vecb-vecc) is equal.

Let veca=hati-hatj,vecb=hati+hatj+hatk and vecc be a vector such that vecaxxvecc+vecb=vec0 and veca.vecc=4 , then |vecc|^(2) is equal to:

veca=hati+hatj+hatk , vecb=hati-hatk , veca xx vecc = vecb , veca*vecc=3 then Find [(veca,vecb,vecc)]

If veca=hati+hatj+hatk , vecb=2hati+hatj-hatk and vecc=4hati+3hatj+hatk then value of ((veca+vecb)xx(veca -(veca-vecb)xxvecb)))xxvecc is

If veca=2hati+2hatj-hatk, vecb=3hati-hatj-hatk and vecc=hati+2hatj-3hatk then verify that vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc .

AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-A)
  1. If veca.veci=veca.(hati+hatj)=veca.(hati+hatj+hatk) . Then find the un...

    Text Solution

    |

  2. If veca +vecb +vecc =vec0, |veca| =3 , |vecb|=5 and |vecc| =7 , then ...

    Text Solution

    |

  3. The vector cosalpha.cosbetahati+cosalpha.sinbetahatj+sinalphahatk is a...

    Text Solution

    |

  4. If |veca|=|vecb|, then (veca+vecb).(veca-vecb) is equal to

    Text Solution

    |

  5. If veca and vecb are unit vectors inclined at an angle theta, then the...

    Text Solution

    |

  6. The projection of the vector hati+hatj+hatk along the vector of hatj i...

    Text Solution

    |

  7. If OACB is a parallelogram with vecOC=veca and vecAB=vecb, then vecOA ...

    Text Solution

    |

  8. If veca, vecb, vecc, vecd are the position vectors of points A, B, C a...

    Text Solution

    |

  9. If the vectors 3hati+lambdahatj+hatk and 2hati-hatj+8hatk are perpendi...

    Text Solution

    |

  10. The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, ...

    Text Solution

    |

  11. Let veca , vecb , vecc be three unit vectors such that |veca + vecb +...

    Text Solution

    |

  12. If theta is the angle between the vectors 2hati-2hatj+4hatk and 3hati+...

    Text Solution

    |

  13. If veca=2hati-3hatj-hatk and vecb=hati+4hatj-2hatk, then vecaxxvecb is

    Text Solution

    |

  14. If veca,vecb represent the diagonals of a rhombus, then

    Text Solution

    |

  15. If vecu=veca-vecb, vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvec...

    Text Solution

    |

  16. If vecp=2veca-3vecb, vecq=veca-2b+vecc, vecr=-3veca+vecb+2vecc, veca,v...

    Text Solution

    |

  17. A vector vecc of magnitude sqrt(7) which is perpendicular to the vecto...

    Text Solution

    |

  18. If veca=hati+hatj,vecb=hati-hatj, then veca.vecb=

    Text Solution

    |

  19. The vectors veca=hati-2hatj+3hatk, vecb=-2hati+3hatj-4hatk and vec c=h...

    Text Solution

    |

  20. The volume of the parallelepiped whose edges are veca=2hati-3hatj+4h...

    Text Solution

    |