Home
Class 12
MATHS
Prove that for any two vectors veca and ...

Prove that for any two vectors `veca` and `vecb,veca*(vecaxxvecb)=0`. Is `vecb*(vecaxxvecb)=0`?

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)

The angle between veca and vecb if vecaxxvecb=veca*vecb is :

If theta is the angle between two vectors veca and vecb , then |veca*vecb|=|vecaxxvecb| when theta is equal to :

Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb) .

If veca and vecb are any two vectors, prove that (vecaxxvecb)^(2)=|veca|^(2)|vecb|^(2)-(veca.vecb)^(2) It is known as Largange's indentity.

If veca" and "vecb are any two vectors, then (veca xx vecb)^(2)= |veca|^(2)|vecb|^(2)-(veca* vecb)^(2) .

If veca,vecb,vecc are any three vectors then prove that. vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=0

MODERN PUBLICATION-VECTORS-Exercise
  1. Let veca=hati+hatj+hatk, vecb=hati and vecc=c1hati+c2hatj+c3hatk. Then...

    Text Solution

    |

  2. Find the volume of the parallelopiped with coteminous edges AB,AC and ...

    Text Solution

    |

  3. Prove that for any two vectors veca and vecb,veca*(vecaxxvecb)=0. Is v...

    Text Solution

    |

  4. If veca,vecb,vecc are perpendicular to each other, prove that [veca....

    Text Solution

    |

  5. What can you conclude about four non-zero vectors veca,vecb,vecc and v...

    Text Solution

    |

  6. Simplify : (vecb+vecc)*{(vecc+veca)xx(veca+vecb)}.

    Text Solution

    |

  7. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

    Text Solution

    |

  8. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

    Text Solution

    |

  9. Simplify : {(vecb-vecc)xx(vecc-veca)}odot(veca-vecb)

    Text Solution

    |

  10. Simplify : [veca-vecb,vecb-vecc,vecc-veca].

    Text Solution

    |

  11. For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vec...

    Text Solution

    |

  12. If veca*vecbxxvec=0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(b'...

    Text Solution

    |

  13. If veca*vecb*vecc not= 0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), v...

    Text Solution

    |

  14. If veca*vecbxxvecc= 0 and vec(a')=(vecbxxvecc)/(veca*vecbxxvecc), vec(...

    Text Solution

    |

  15. Represent graphically a displacement of 40 km, 30^o east of north.

    Text Solution

    |

  16. Classify the following measure as scalar and vector: 10 Kg

    Text Solution

    |

  17. Classify the following measures as scalars and vectors : 2 meters nort...

    Text Solution

    |

  18. Classify the following measure as scalar and vector: 40^o

    Text Solution

    |

  19. Classify the following measures as scalars and vectors : 40 watt.

    Text Solution

    |

  20. Classify the following measures as scalars and vectors : 10^(-19).

    Text Solution

    |