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

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

A

`barr=2bara+2barb`

B

`barr=-2bara+2barb`

C

`barr=2bara-2barb`

D

`barr=-2bara-2barb`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Critical Thinking|35 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|79 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

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

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

If bara=hati+2hatj-3hatk,barb=2hati+hatj-hatk and baru is vector satisfying bara times baru=bara times barb and bara.baru=bar0 , then 2|baru|^2 is equal to

Let bara=hati-hatj,b=hati+2hatj+2hatk,c=hati-hatj+hatk and bard = -2hati-hatj-hatk then the shortest distance between the lines barr=bara+tbarb and barr=barc+pbard is k , then the value of 1/k^2 is

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 =

If vecomega=2hati-3hatj+4hatk and vecr=2hati-3hatj+2hatk then the linear velocity is

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 bar A= 2hati+8hatj+7hatk and bar B=3hati+2hatj then the component of (barA+barB) along x-axis is

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

TARGET PUBLICATION-VECTORS-Evaluation Test
  1. If bara=hati+hatj,barb=2hati-hatj and barr=2hati-4hatj, then express v...

    Text Solution

    |

  2. Given bara, barb, barc are three non-zero vectors, no two of which are...

    Text Solution

    |

  3. If bara,barb,barc are three non-coplanar vectors such that barr1=bara-...

    Text Solution

    |

  4. Let a,b,c be distinct non- negative numbers . If the vectors ah...

    Text Solution

    |

  5. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  6. If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...

    Text Solution

    |

  7. The value of a so that volume of parallelopiped formed by vectors over...

    Text Solution

    |

  8. If bara.barb=barb.barc=barc.bara=0 then the value of [bara" "barb" "ba...

    Text Solution

    |

  9. Let bara=-overset(^)i-overset(^)k,barb=-overset(^)i+overset(^)j and ba...

    Text Solution

    |

  10. If bara and barb are vectors such that |bara+barb|=sqrt(29) and baraxx...

    Text Solution

    |

  11. If the vectors veca, vecb, vecc are non -coplanar and l,m,n are distin...

    Text Solution

    |

  12. P is any point on the circumference of the circumcircle of DeltaABC. ...

    Text Solution

    |

  13. The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(...

    Text Solution

    |

  14. If the volume of parallelopiped whose concurrent edges are 3overset(^)...

    Text Solution

    |

  15. If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)...

    Text Solution

    |

  16. If the position vector of p is 3barp+barq and barp divides PQ intern...

    Text Solution

    |

  17. A(bara)=3overset(^)i+2overset(^)j,B(barb)=5overset(^)i+3overset(^)j+2o...

    Text Solution

    |

  18. In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0)...

    Text Solution

    |

  19. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |