Home
Class 12
MATHS
The value of (hati+hatj).[(hatj+hatk)xx(...

The value of `(hati+hatj).[(hatj+hatk)xx(hatk+hati)]` is

A

0

B

1

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
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

Write the value of (hatk X hatj).(hati+hatj+hatk)

Find the value of |(hati+hatj)xx(hati+2hatj+hatk)|

Calculate the values of (i) hatj. (2hati - 3hatj +hatk) and (ii) (2hati - hatj) (3hati + hatk)

What is hati . ( hatj xx hatk) ?

(a.hati)hati+(a.hatj)hatj+(a.hatk)hatk

Evaluated: hati (hatj xx hatk ) +(hatixx hatk). hatj

If a=hati+hatj+hatk and b=hati-hatj , then vectors (a*hati+hati+(a*hatj+(a*hatk)hatk,(b*hati)hati+(bhatj)hatj+(b*hatk)hatk and hati+hatj-2hatk

Prove that: (2hati+3hatj)xx(hati+2hatj)=hatk

TARGET PUBLICATION-VECTORS-Evaluation Test
  1. The value of (hati+hatj).[(hatj+hatk)xx(hatk+hati)] is

    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

    |