Home
Class 12
MATHS
If veca vecb are non zero and non collin...

If `veca vecb` are non zero and non collinear vectors, then `[(veca, vecb, veci)]hati+[(veca, vecb, vecj)]hatj+[(veca, vecb, veck)]hatk` is equal to

A

`a+b`

B

`axxb`

C

`a-b`

D

`bxxa`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos
  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

Similar Questions

Explore conceptually related problems

if veca and vecb non-zero ad non-collinear vectors, then

Statement 1: If veca, vecb are non zero and non collinear vectors, then vecaxxvecb=[(veca, vecb, hati)]hati+[(veca, vecb, hatj)]hatj+[(veca, vecb, hatk)]hatk Statement 2: For any vector vecr vecr=(vecr.hati)hati+(vecr.hatj)hatj+(vecr.hatk)hatk

If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[(veca,vecb,hatj)]hatj+[(veca,vecb,hatk)]hatk=

If veca, vecb, vecc are any three non coplanar vectors, then [(veca+vecb+vecc, veca-vecc, veca-vecb)] is equal to

If veca, vecb, vecc are non-null non coplanar vectors, then [(veca-2vecb+vecc, vecb-2vecc+veca, vecc-2veca+vecb)]=

If veca, vecb, vecc are three non coplanar, non zero vectors then (veca.veca)(vecbxxvecc)+(veca.vecb)(veccxxveca)+(veca.vecc)(vecaxxvecb) is equal to

If veca, vecb, vecc are three non-zero non-null vectors are vecr is any vector in space then [(vecb, vecc, vecr)]veca+[(vecc, veca, vecr)]vecb+[(veca, vecb, vecr)]vecc is equal to

If veca and vecb are two non collinear unit vectors and |veca+vecb|= sqrt3 , then find the value of (veca- vecb)*(2veca+ vecb)

BITSAT GUIDE-VECTOR ALGEBRA -BITSAT Archives
  1. If veca vecb are non zero and non collinear vectors, then [(veca, vecb...

    Text Solution

    |

  2. The unit vector perpendicular to the vectors hati -hatj andhati + hatj...

    Text Solution

    |

  3. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  4. If |a|= 2, |b|=5 and |a xx b|=8, then |a.b| is equal to

    Text Solution

    |

  5. The work done by the force 4hati-3hatj +2hatk in moving a particle al...

    Text Solution

    |

  6. If a .(b xx c) = 0, then the correct statement is

    Text Solution

    |

  7. If 2hati+hatj-hatk & hati-4hat j+lambda hatk are perpendicular to each...

    Text Solution

    |

  8. If a.hati=4 then (axx hatj).(2hatj-3hatk) is equal to

    Text Solution

    |

  9. The vector r is equal to

    Text Solution

    |

  10. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

    Text Solution

    |

  11. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

    Text Solution

    |

  12. The position vectors of P and Q are respectively vec a and vec b . If ...

    Text Solution

    |

  13. If the position vectors of A, B and C are respectively 2hati-hatj+hatk...

    Text Solution

    |

  14. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

    Text Solution

    |

  15. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

    Text Solution

    |

  16. Let a, b, c be three non-coplanar vectors and p, q, r be vectors defin...

    Text Solution

    |

  17. If hata, hatb and hatc are mutually perpendicular unit vectors then |...

    Text Solution

    |

  18. The projection of the vector 2hati+hatj -3hatk on the vector hati-2hat...

    Text Solution

    |

  19. If a = hati+2hatj-3hatk and b = 3hati-hatj+2hatk then the angle betwee...

    Text Solution

    |

  20. If the vectors alpha hati+hatj+hatk,hati+betahatj+hatk and hati+hatj+g...

    Text Solution

    |

  21. If a vector alpha lie in the plane of beta and gamma , then which is...

    Text Solution

    |