Home
Class 12
MATHS
Let vecV = 2hati +hatj - hatk and vecW= ...

Let `vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU` is a unit vector, then the maximum value of the scalar triple product `[ vecU vecV vecW]` is

Text Solution

Verified by Experts

The correct Answer is:
`sqrt59`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CBSE COMPLEMENTARY MATERIAL|Exercise TWO MARKS QUESTIONS|11 Videos
  • THREE DIMENSIONAL GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

Let vecV=2hati+hatj-hatk and vecW=hati+3hatk . It vecU is a unit vector, then the maximum value of the scalar triple product [(vecU, vecV, vecW)] is

Let vecu = 2hati - hatj + hatk, vecv = -3hatj + 2hatk be vectors in R^(3) and vecw be a unit vector in the xy-plane. Then the maximum possible value of |(vecu xx vecv).vecw| is-

Let vecu=2hati-hatj+hatk, vecv=-3hatj+2hatk be vectors and vecw be a unit vector in the xy-plane. Then the maximum possible value of |(vecu xx vecv)|.|vecw| is

Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk . Let a vector vecv be in the plane containing veca and vec b. If vec v is perpendicular to the vector 3 hati + 2hatj - hatk and its projection on vec a is 19 units, then abs(2vec v)^2 is equal to _________.

Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk . Let a vector vecv be in the plane containing veca and vec b. If vec v is perpendicular to the vector 3 hati + 2hatj - hatk and its projection on vec a is 19 units, then abs(2vec v)^2 is equal to _________.

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk . If hatn is a unit vector such that vecu.hatn =0 and vecv.hatn=0 then find the value of |vecw.hatn|

Let vecu= hati + hatj , vecv = hati -hatja and hati -hatj and vecw =hati + 2hatj + 3 hatk If hatn isa unit vector such that vecu .hatn=0 and vecn .hatn =0 , " then " |vecw.hatn| is equal to

CBSE COMPLEMENTARY MATERIAL-VECTORS -FOUR MARKS QUESTIONS
  1. Prove that the four points (4hati + 5 hatj+hatk), - (hatj +hatk),(3hat...

    Text Solution

    |

  2. If |veca| =3, |vecb|=4 and |vecc|=5 such that each is perpendicular to...

    Text Solution

    |

  3. Decompose the vector 6 hati - 3 hatj - 6 hatk into vectors which are p...

    Text Solution

    |

  4. If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, v...

    Text Solution

    |

  5. If veca, vecb and vecc are three non zero vectors such that veca xx v...

    Text Solution

    |

  6. For any three vectors veca, vecb, vecc the value of [(veca-vecb, vecb-...

    Text Solution

    |

  7. If [veca vecbvecc]=2 find the volume of the parallelepiped whose co-te...

    Text Solution

    |

  8. If veca +vecb +vecc=0, |veca|=3,|vecb|=5, |vecc|=7 , then find the ang...

    Text Solution

    |

  9. If the magnitude of the vector product of the vector hati+hatj+hatk wi...

    Text Solution

    |

  10. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd show that (veca-vec...

    Text Solution

    |

  11. Find a vector of magnittude sqrt(171) which is perpendicular to both o...

    Text Solution

    |

  12. If a is a nonzero real number prove that the vectors overset(r) alph...

    Text Solution

    |

  13. If with reference to a right handed system of mutually perpendicula...

    Text Solution

    |

  14. Find a unit vector perpendicular to plane ABC when position vectors of...

    Text Solution

    |

  15. Find a unit vector in XY plane which makes an angle 45^(@) with the ve...

    Text Solution

    |

  16. Suppose veca = lamda hati - 7 hatj + 3 hatk, vecb = lamda hati + hatj ...

    Text Solution

    |

  17. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

    Text Solution

    |

  18. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

    Text Solution

    |

  19. Let a, b and c be distinct non-negative numbers. If vectos a hati +a h...

    Text Solution

    |

  20. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and the vectors A-=(1...

    Text Solution

    |