Home
Class 12
MATHS
If veca=7hati-2hatj+3hatk, vecb=hati-hat...

If `veca=7hati-2hatj+3hatk, vecb=hati-hatj+2hatk, vecc=2hati+8hatj`, then find `veca*(vecbxxvecc)` and `(vecbxxvecc)*veca`.

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

If veca=2hati-hatj+hatk,vecb=3hati+2hatj-3hatk and vecc=hati+2hatj+hatk then 2veca+vecb-vecc=

If veca=3hati-hatj+2hatk,vecb=hati-3hatk , then veca*vecb is :

If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4hatk , then find the projection of (vecb+vecc) on veca .

If veca = hati-hatj+hatk , vecb = 2hati-3hatj+hatk , then find |2vecaxxvecb|

If veca=2hati-hatj+hatk , vecb=hati+3hatj-2hatk and vecc=3hati+hatj-hatk then show that (veca×vecb).vecc=veca.(vecb×vecc)

If veca=hati-hatj+hatk and vecb=5hati-hatj+2hatk , then veca*vecb is :

If veca=hati+3hatj+hatk , vecb=hati+hatj-hatk then find |vecaxx2vecb| .

If veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3hatk then find the value of (veca+vecb).vecc .

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |