Home
Class 12
MATHS
(-veca).vecbxx(-vecc)) =...

`(-veca).vecbxx(-vecc))` =

A

`vecaxxvecb.vecc`

B

`-veca.(vecbxxvecc)`

C

`vecaxxvecc.vecb`

D

`veca.(veccxxvecb)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

For any three vectors veca,vecb,vecc show that [(veca-vecb) (vecc-veca) (vecb-vecc)] = 0

For the non-zero vectors veca, vecb and vecc, veca.(vecbxxvecc) = 0 if

If veca, vecb and vecc mutually perpendiculars, show that [veca.(vecbxxvecc)]^2 = a^2b^2c^2

Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb) . Interpret this result geometrically.

For veca = hati+hatj, vecb = -hati+2hatk, vecc = hatj+hatk , obtain vecaxx(vecbxxvecc) and also verify the formula vecaxx(vecbxxvecc) = (veca.vecc)vecb-(veca.vecb)vecc .

Find veca. (vecb xx vecc) if veca=2hati + hatj + 3hatk , vecb= -hati + 2hatj + hatk and vecc = 3hati + hatj + 2hatk .

If veca, vecb, vecc be unit vectors and vecaxx(vecbxxvecc) = 1/2hatb , find the angles that veca makes with hatb and hatc , where hatb,hatc are not parallel.

Let veca = 2hati+hatj, vecb = -hati+3hatj+hatk and vecc = hati+2hatj+5hatk be three vectors. Find (veca-vecb)xx(vecc-veca)

Prove that vecaxx(vecbxxvecc)+ vecbxx(veccxxveca)+veccxx(vecaxxvecb) = 0 and hence prove that vecaxx(vecbxxvecc), vecbxx(veccxxveca), veccxx(vecaxxvecb) are coplanar.

Prove that veca xx (vecb xx vecc) + vecb xx (vecc xx veca) + vecc xx (veca xx vecb) = vec0 and hence prove that veca xx (vecb xx vecc), vecb xx (vecc xx veca), vecc xx (veca xx vecb) are coplanar.

MBD PUBLICATION-VECTORS-QUESTION BANK
  1. Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...

    Text Solution

    |

  2. Each question given below has four possible answers out of which only ...

    Text Solution

    |

  3. (-veca).vecbxx(-vecc)) =

    Text Solution

    |

  4. For the non-zero vectors veca, vecb and vecc, veca.(vecbxxvecc) = 0 if

    Text Solution

    |

  5. Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...

    Text Solution

    |

  6. Find the scalar triple product vecb.(veccxxveca) where veca, vecb and ...

    Text Solution

    |

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

    Text Solution

    |

  8. Find the volume of the Parallelepiped whose sides are given by the vec...

    Text Solution

    |

  9. Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+...

    Text Solution

    |

  10. Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati...

    Text Solution

    |

  11. Find the value of lambda so that the three vectors are co-planar. hati...

    Text Solution

    |

  12. Find the value of lambda so that the three vectors are co-planar. (2,-...

    Text Solution

    |

  13. If veca, vecb and vecc mutually perpendiculars, show that [veca.(vecbx...

    Text Solution

    |

  14. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |

  15. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

    Text Solution

    |

  16. For veca = hati+hatj, vecb = -hati+2hatk, vecc = hatj+hatk, obtain vec...

    Text Solution

    |

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

    Text Solution

    |

  18. If veca, vecb, vecc be unit vectors and vecaxx(vecbxxvecc) = 1/2hatb, ...

    Text Solution

    |

  19. Prove that the sum of the vectors directed from the vertices to the mi...

    Text Solution

    |

  20. Prove by vector method that the diagonals of a quadrilateral bisect ea...

    Text Solution

    |