Home
Class 11
MATHS
Let vecr, veca, vecb and vecc be four no...

Let `vecr, veca, vecb` and `vecc` be four non-zero vectors such that `vecr.veca=0, |vecrxxvecb|=|vecr||vecb|,|vecrxxvecc|=|vecr||vecc|` then
`[(veca, vecb, vecc)]=`

A

|a||b||c|

B

`-|a||b||c|`

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
`vecr.veca = 0, |vecr xx vecb| = |vecr||vecb| and |vecr xx vecc|`
`|vecr||vecc|`
` [ veca vecb vecc] =0`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise JEE Previous Year (Single Question)|28 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise JEE Previous Year (Multiple Question)|11 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.3|18 Videos

  • CONIC SECTIONS

    CENGAGE|Exercise Solved Examples And Exercises|1316 Videos

  • LIMITS AND DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|320 Videos

Similar Questions

Explore conceptually related problems

If veca, vecb, vecc are three non-zero vectors such that veca + vecb + vecc=0 and m = veca.vecb + vecb.vecc + vecc.veca , then:

If veca is perpendicular to vecb and vecr is a non-zero vector such that pvecr + (vecr.vecb)veca=vecc , then vecr is:

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

If veca, vecb, vecc are three non-coplanar vectors, then a vector vecr satisfying vecr.veca=vecr.vecb=vecr.vecc=1 , is

Find vector vecr if vecr.veca=m and vecrxxvecb=vecc, where veca.vecb!=0

For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc = |veca||vecb||vecc| holds if and only if

If veca, vecb and vecc are three non zero vectors such that veca xx vecb = vecc and vecbxx vecc = veca. Prove that veca, vecb and vecc are mutually at right angles and |vecb|=1 and |vecc| =|veca|

If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, veca xx vecb = veca xx vecc, a ne 0. then show that vecb = vecc.

If vecr.veca=vecr.vecb=vecr.vecc=0 for some non-zero vectro vecr , then the value of [(veca, vecb, vecc)] is

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Given veca=xhati+yhatj+2hatk,vecb=hati-hatj+hatk , vecc=hati+2hatj, ve...

    Text Solution

    |

  2. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

    Text Solution

    |

  3. Let vecr, veca, vecb and vecc be four non-zero vectors such that vecr....

    Text Solution

    |

  4. If veca, vecb and vecc are such that [veca vecb vecc] =1, vecc= lambda...

    Text Solution

    |

  5. If 4veca+5vecb+9vecc=0 " then " (vecaxxvecb)xx[(vecbxxvecc)xx(veccxxve...

    Text Solution

    |

  6. Value of [vec a xx vec b,vec a xx vecc,vec d] is always equal to

    Text Solution

    |

  7. Let hata and hatb be mutually perpendicular unit vectors. Then for an...

    Text Solution

    |

  8. Let veca and vecb be unit vectors that are perpendicular to each other...

    Text Solution

    |

  9. veca and vecb are two vectors such that |veca|=1 ,|vecb|=4 and veca. V...

    Text Solution

    |

  10. Then for any arbitary vector veca, (((veca xx vecb) + (veca xx vecb))...

    Text Solution

    |

  11. If veca .vecb =beta and veca xx vecb = vecc ," then " vecb is

    Text Solution

    |

  12. If a(vecalphaxxvecbeta)=b(vecbetaxxvecgamma)+c(vecgammaxxvecalpha)=vec...

    Text Solution

    |

  13. If (vecaxxvecb)xx(vecbxxvecc)=vecb, where veca,vecb and vecc are non z...

    Text Solution

    |

  14. If vecr.veca=vecr.vecb=vecr.vecc=1/2 for some non zero vector vecr and...

    Text Solution

    |

  15. A vector of magnitude 10 along the normal to the curve 3x^2+8x y+2y...

    Text Solution

    |

  16. If veca and vecb are two unit vectors inclined at an angle pi//3 then ...

    Text Solution

    |

  17. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

    Text Solution

    |

  18. If veca+vecb ,vecc are any three non- coplanar vectors then the equa...

    Text Solution

    |

  19. Sholve the simultasneous vector equations for vecx aedn vecy: vecx+vec...

    Text Solution

    |

  20. The condition for equations vecrxxveca = vecb and vecr xx vecc = vecd ...

    Text Solution

    |