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

`bara+barb`

B

`baraxxbarb`

C

`bara-barb`

D

`barbxxbara`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MARVEL PUBLICATION|Exercise PREVIOUS YEARS MHT-CET EXAM QUESTIONS|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 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)

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP
  1. If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + ...

    Text Solution

    |

  2. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

    Text Solution

    |

  3. If alpha,beta ,gamma are direction angles of a line , then cos 2alpha ...

    Text Solution

    |

  4. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

    Text Solution

    |

  5. If vectors 2i-j+k,i+2j-3k and 3i+aj+5k are coplaner, then a=

    Text Solution

    |

  6. If bara.i = 4, then bara.[j xx (2j - 3k)]=

    Text Solution

    |

  7. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  8. If veca vecb are non zero and non collinear vectors, then [(veca, vecb...

    Text Solution

    |

  9. If bara,barb,barc are non-coplaner vectors and barp=(barbxxbarc)/([bar...

    Text Solution

    |

  10. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

    Text Solution

    |

  11. If the volumes of parallelepiped with coterminus edges -pj+5k,i-j+qk a...

    Text Solution

    |

  12. A line makes 45^(@) with OX, and equal angles with OY and OZ. Then the...

    Text Solution

    |

  13. If the points with position vectors -i + 3j + 2k , -4i + 2j - 2k and 5...

    Text Solution

    |

  14. If bara.barb=barb.barc=barc.bara=0 and bara,barb,barc form a right-han...

    Text Solution

    |

  15. If bara,barb,barc are non-coplaner vectors, then (bara.(barbxxbarc))/...

    Text Solution

    |

  16. i · (j xx k) + j · (k xx i) + k · (i xx j ) =

    Text Solution

    |

  17. If bara=2i+3j-k,barb=-i+2j-4k and barc=i+j+k, then (baraxxbarb).(barax...

    Text Solution

    |

  18. If vectors 2hati-hatj+hatk ,hati+2hatj-3hatk and 3hati+mhatj+5hatk are...

    Text Solution

    |

  19. 2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =

    Text Solution

    |

  20. If vectors bara,barb,barc are non-coplaner, then ([bara+2barb barb+2...

    Text Solution

    |