Home
Class 11
PHYSICS
Prove that vecA.(vecAxxvecB)=0...

Prove that `vecA.(vecAxxvecB)=0`

Text Solution

Verified by Experts

`vecA(vecAxxvecB)=0`(claim)
As `vecAxxvecB=AB sin theta hatn
`is a vector which is perpendicular to the place containing `vecA and vecB
` this implies that it is also perpendicular to `vecA`. As dot product of two perpendicular vector is zero. `vecA.(vecAxxvecB)=0`
Promotional Banner

Topper's Solved these Questions

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Objective 2|5 Videos

  • NEWTON'S LAWS OF MOTION

    HC VERMA|Exercise Exercises|42 Videos

  • REST AND MOTION : KINEMATICS

    HC VERMA|Exercise Exercises|51 Videos

Similar Questions

Explore conceptually related problems

Prove that vecaxx(vecbxxvecc)+vecbxx(veccxxveca)+veccxx(vecaxxvecb)=vec0

Prove that (vecaxxvecb)^2=veca^2b^2-(veca.vecb)^2 .

Prove that: (2veca-vecb)xx (veca+2vecb)=5vecaxxvecb .

Prove that: [(vecaxxvecb)xx(vecaxxvecc)].vecd=[veca vecb vecc](veca.vecd)

Prove that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb) also interpret this result.

If veca+vecb+vecc=0 , prove that (vecaxxvecb)=(vecbxxvecc)=(veccxxveca)

If veca,vecb,vecc and vecas\', vecb\', vecc\' are reciprocal system of vectors prove that vecaxxvecb+vecbxxvecb+veccxxvecc\'=vec0

If veca and vecb are two vectors , then prove that (vecaxxvecb)^(2)=|{:(veca.veca" ",veca.vecb),(vecb.veca" ",vecb.vecb):}|

If veca and vecb are two vectors , then prove that (vecaxxvecb)^(2)=|{:(veca.veca" ",veca.vecb),(vecb.veca" ",vecb.vecb):}|

prove that (veca.(vecbxxhati)hati(veca.(vecbxxhatj))hatj+ (veca.(vecbxxhatk))hatk=vecaxxvecb

HC VERMA-PHYSICS AND MATHEMATICS-Exercises
  1. Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components ...

    Text Solution

    |

  2. Let veca=2veci+3vecj+4veck and vecb=3veci+4vecj+5veck. Find the angle ...

    Text Solution

    |

  3. Prove that vecA.(vecAxxvecB)=0

    Text Solution

    |

  4. If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB.

    Text Solution

    |

  5. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

    Text Solution

    |

  6. A particle moves on a given straight line with a constant speed v. At ...

    Text Solution

    |

  7. The force on as charged particle due to electric and magnetic fields i...

    Text Solution

    |

  8. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

    Text Solution

    |

  9. A curve is represented by y=sinx. If x is changed from pi/3 to pi/3+pi...

    Text Solution

    |

  10. The electric curren in a charging R-C circuit is given by i=i0e^(-t/RC...

    Text Solution

    |

  11. The electric current in a discharging R-C circuit is given by i=i0e^(-...

    Text Solution

    |

  12. Find the area bounded under the curve y=3x^2+6x+7 X-axis with the orid...

    Text Solution

    |

  13. Find the area enclosed the curve y=sin x and the X-axis between x=0 an...

    Text Solution

    |

  14. Find the area bounded by the curve y=e^(-x) the X-axis and the Y-axis.

    Text Solution

    |

  15. A rod of length L is placed along the X-axis between x=0 and x=L. The ...

    Text Solution

    |

  16. The momentum p of a particle changes with the t according to the relat...

    Text Solution

    |

  17. The changes ina function y and the independent variable x are related ...

    Text Solution

    |

  18. Write the number of significant digits in a 1001, b. 100.1, c.100.10 d...

    Text Solution

    |

  19. A metre scale is graduated at every millimetre. How many significant d...

    Text Solution

    |

  20. Round the following numbers to 2 significant digits. A. 3472, b. 84.16...

    Text Solution

    |