Home
Class 12
MATHS
If bara=hati+hatj+hatk , bara.barb=2 and...

If `bara=hati+hatj+hatk , bara.barb=2 and bara times barb=2hati+hatj-3hatk` then

A

`bara+barb=5hati-4hatj+2hatk`

B

`bara+barb=3hati+2hatk`

C

`barb=2hati-hatj+hatk`

D

`barb=hati-2hatj-3hatk`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    FIITJEE|Exercise COMPREHENSIONS|3 Videos

  • VECTOR

    FIITJEE|Exercise MATCH THE COLUMNS|5 Videos

  • VECTOR

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|49 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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

IF bara=hati+hatj+hatk,barb=2hatj-hatk and barr times bara=barb times bara,barr . barb =0 then barr/|barr| is equal to

If bara=hati+hatj+hatk, barb=2hati+lambdahatj+hatk,barc=hati-hatj+4hatk and bara.(barbxxbarc)=10 , then lambda is equal to

The vectors bara,barb and bara+barb are

If bara =3 hati - 2hatj +7 hatk, barb = 5hati + hat j -2 hatk and barc = hati + hatj - hat k, " then find "bara * (barb xx barc) .

If barc=bara times barb and barb=barc times bara then

Given that bara=3 hati+hatj+2 hatk and barb=hati-2 hatj-4 hatk are the position vectors of points P and Q respectively. Find the equation for the plane passing through Q and perpendicular to the line PQ. What is the distances from the point (-1,1,1) to the plane?

If bara=hati+hatj,barb=2hati-hatj and barr=2hati-4hatj, then express vecr as linear combination of bara and barb

IF bar a = hati + hatj +2 hatk , bar b = 2 hati - hatj +hatk and bar c = 3 hati - hatk and bar c = m bara + n barb then m+ n =

Select and write the appropriate answer from the given alternatives in each of the following sub- questions: if hata = 3hati - hatj + 4hatk, barb = 2hati + 3hatj - hatk, barc = - 5 hat i + 2hatj + 3hatk then bara . (barb xx barc) = ……….

FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II
  1. ABCD is a rhombus IF M,N,P are points taken on sides AB,BC,CD respecti...

    Text Solution

    |

  2. Three points having position vectors bara,barb and barc will be collin...

    Text Solution

    |

  3. IF bara,barb,barc and bard are any four vectors then (bara times barb)...

    Text Solution

    |

  4. A line passes through the points whose position vectors are hati+hatj-...

    Text Solution

    |

  5. IF barx times barb=barc times barb and barx . bara =0 then barx=

    Text Solution

    |

  6. IF |bara|=4,|barb|=2 and the angle between bara and barb is pi/6 then ...

    Text Solution

    |

  7. The position vectors of the vertices A, B and C of a tetrahedron ABCD ...

    Text Solution

    |

  8. If vec(DA)=veca,vec(AB)=vecb and vec(CB)=kveca where kgt0 and X,Y are ...

    Text Solution

    |

  9. If barc=bara times barb and barb=barc times bara then

    Text Solution

    |

  10. If bara,barb and barc are non coplanar vectors such that barb times ba...

    Text Solution

    |

  11. The position vectors of the vertices, A,B,C of a tetrahedron ABCD are ...

    Text Solution

    |

  12. Let bara,barb and barc are three mutually perpendicular unit vectors a...

    Text Solution

    |

  13. Let veca = hati + hatj + hatk and let vecr be a variable vector such t...

    Text Solution

    |

  14. Let barlamda=bara times (barb +barc), barmu=barb times (barc+bara) and...

    Text Solution

    |

  15. Let bara,barb,barc be three coplanar unit vectors such that bara+barb+...

    Text Solution

    |

  16. For three non-coplanar vectors bara,barb,barc the relation |(bara time...

    Text Solution

    |

  17. If bara=hati+hatj+hatk , bara.barb=2 and bara times barb=2hati+hatj-3h...

    Text Solution

    |

  18. Let bara.barb and barc are three unit vectors such that |bara+barb+bar...

    Text Solution

    |