Home
Class 12
MATHS
Let : bara = i - j, barb = j - k, barc =...

Let : `bara = i - j, barb = j - k, barc = k - i` If `bard` is a unit vector such that `bara. bard = 0 = [barb barc bard]`, then : `bard` =

A

`pm(i+j-k)/(sqrt3)`

B

`pm(i+j-2k)/(sqrt6)`

C

`pm(i+j+k)/(sqrt3)`

D

`pmk`

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

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

Let bara, barb, barc be unit vectors such that bara· barb = 0 = bara ·barc If mangle(barb,barc)=(pi)/6, then : bara=

lf bara,barb,barc are three unit-vectors such that 3bara + 4barb + 5barc = bar0 , then

If bara = i + 5k, barb = 2i + 3k, barc = 4i - j + 2k and bard = i-j , then (barc - bara)·(barb xx bard) =

lf bara = 3i - 5j and barb = 6i + 3j are two vectors, and barc is a vector such that barc = bara xx barb , then : abs(bara) : abs(barb) : abs(barc) =

Given that bara and barb are not mutually perpendicular. If barc and bard are two vectors such that barb xx barc = barb xx bard and bara.bard =0, then : bard=

[[bara-barb, barb-bara, barc-bara]]=

If barA equiv (1 , 1, 1) and barC equiv (0, 1, -1) are given vectors, and barB is a vector such that barA xx barB = barC and barA· barB = 3 , then : 3barB = ...

If bara=i+j+k,bara.barb=1 and baraxxbarb=j-k , then : barb =

IF bara times barb = barc and barb times barc=bara then

Let bara = i - k, barb =x i+ j + ( 1 - x) k , and barc = yi + xj + ( 1 + x - y ) k . Then bara ,barb and barc are non-coplanar for

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP
  1. Let : bara = i - j, barb = j - k, barc = k - i If bard is a unit vecto...

    Text Solution

    |

  2. If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =

    Text Solution

    |

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

    Text Solution

    |