Home
Class 12
MATHS
Show that veca*(vecaxxvecb)=0 for any pa...

Show that `veca*(vecaxxvecb)=0` for any pair `veca,vecb` of vectors.

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)

If veca=5hati-hatj-3hatk and vecb=hati+3hatj-5hatk , then show that the vectors (veca+vecb) and (veca-vecb) are perpendicular.

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

If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(vecaxxvecb) is parallel to the vector

If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0 , find the value of veca cdot vecb + vecb cdot vecc + vecc cdot veca

If veca = 5veci - vecj -3veck and vecb = veci + 3vecj - 5veck , then show that the vectors veca + vecb and veca - vecb are perpendicular.

Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vecb|veca for any two non zero vectors veca and vecb

If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxvecc=veca , prove that veca,vecb,vecc are mutually at right angles and |vecb|=1,|vecc|=|veca| .

MODERN PUBLICATION-VECTORS-Exercise
  1. Classify the following quantities as vector or scalar : (i) Time perio...

    Text Solution

    |

  2. Find veca*(vecbxxvecc) if : veca=2hati+hatj+3hatk,vecb=-hati+2hatj+hat...

    Text Solution

    |

  3. Show that veca*(vecaxxvecb)=0 for any pair veca,vecb of vectors.

    Text Solution

    |

  4. If veca=7hati-2hatj+3hatk, vecb=hati-hatj+2hatk, vecc=2hati+8hatj, the...

    Text Solution

    |

  5. Show that the following vectors are coplanar : veca=hati-2hatj+3hatk,v...

    Text Solution

    |

  6. Show that the following vectors are coplanar : -2hati-2hatj+4hatk,-2ha...

    Text Solution

    |

  7. For what value of 'lambda' is the following vectors coplanar ? veca=ha...

    Text Solution

    |

  8. For what value of 'lambda' are the following vectors coplanar? : hat...

    Text Solution

    |

  9. For what value of 'lambda' is the following vectors coplanar ? veca=2h...

    Text Solution

    |

  10. Using scalar triple product, show that the four points given by positi...

    Text Solution

    |

  11. Find 'x' such that the four points : A(3,2,1),B(4,x,5),C(4,2,-2) and D...

    Text Solution

    |

  12. Show that the four points having position vectors 6hati-7hatj,16hati-1...

    Text Solution

    |

  13. Find the volume of the parallelopiped whose sides are given by the vec...

    Text Solution

    |

  14. Find the volume of the parallelopiped whose sides are given by the vec...

    Text Solution

    |

  15. Let veca=hati+hatj+hatk, vecb=hati and vecc=c1hati+c2hatj+c3hatk. Then...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |