Home
Class 12
MATHS
Let vec V=2 hat i+ hat j- hat ka n d ve...

Let ` vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot` If ` vec U` is a unit vector, then the maximum value of the scalar triple product `[UVW]` is `-1` b. `sqrt(10)+sqrt(6)` c. `sqrt(59)` d. `sqrt(60)`

A

`-1`

B

`sqrt(10)+sqrt(6)`

C

`sqrt(59)`

D

`sqrt(60)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|18 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Let vec V=2hat i+hat j-hat k and vec W=hat i+3hat k. If vec U is a unit vector,then the maximum value of the scalar triple product [UVW] is -1 b.sqrt(10)+sqrt(6) c.sqrt(59)d.sqrt(60)

Let vec b=2hat i+hat j-hat k,vec k=hat i+3hat k, If vec a is a unit vector then find the maximum value of [vec avec bvec cvec c]

Let vec u=2hat i+hat k and vec v=-3hat j+2hat k be vectors and vec w be a unit vector in the xy-plane Then the maximum possible value of |(vec u xxvec v)*vec w is

If vec A = hat i + 3 hat j + 2 hat K and vec B = 3 hat i + hat j + 2 hat k , then find the vector product vec A xx vec B .

let vec a=hat i+hat j-hat k and vec b=hat i-hat j-hat k and vec c be a unit vector perpendicular to vec a and coplanarwith vec a and vec b then vec c is

Let vec a=2hat i+hat j-2hat k and vec b=hat i+hat j If c is a vector such that vec a*vec c=|vec c|,|vec c-vec a|=2sqrt(2) then maimum value of [vec avec bvec c]

If vec a = hat i + hat j, vec b = hat i + hat k, vec c = hat k + hat i, a unit vector parallel to vec a + vec b + vec c

If vec a*hat i=vec a*(hat i+hat j)=vec a*(hat i+hat j+hat k) then find the unit vector vec a

For given vectors,vec a=2hat i-hat j+2hat k and vec b=-hat i+hat j-hat k find the unit vector in the direction of the vector quad vec a+vec b

If vec a=hat i+hat j,vec b=hat j+hat k and vec c=hat k+hat i where unit vectors parallel to vec a+vec b-2vec cdots

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The value of a so that the volume of parallelepiped formed by hat ...

    Text Solution

    |

  2. If vec a=( hat i+ hat j+ hat k), vec adot vec b=1a n d vec axx vec b=...

    Text Solution

    |

  3. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  4. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

    Text Solution

    |

  5. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

    Text Solution

    |

  6. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is euqual to

    Text Solution

    |

  7. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  8. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |

  9. 1/sqrt(10)(3hatj + hatk) and vecb =(2hati +3hatj-6hatk), then the valu...

    Text Solution

    |

  10. The vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  11. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

    Text Solution

    |

  12. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  13. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and veccc=la...

    Text Solution

    |

  14. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  15. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

    Text Solution

    |

  16. If vecu and vecv are unit vectors and theta is the acute angle bet...

    Text Solution

    |

  17. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar...

    Text Solution

    |

  18. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

    Text Solution

    |

  19. The values of a for which the points A, B, and C with position vectors...

    Text Solution

    |

  20. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

    Text Solution

    |