Home
Class 12
MATHS
Let veca = 2hati + hatj + hatk, and vecb...

Let `veca = 2hati + hatj + hatk, and vecb = hati+ hatj ` if c is a vector such that `veca .vecc = |vecc|, |vecc -veca| = 2sqrt2` and the angle between `veca xx vecb and vec is 30^(@)` , then `|(veca xx vecb)|xx vecc|` is equal to

A

`(2)/(3)`

B

`(3)/(2)`

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-C)|6 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-D) Comprehesion-I|3 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-A)|50 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

Let veca =2hati +hatj -2hatk and vecb = hati +hatj . " Let " vecc be vector such that |vecc -veca|=3, |(veca xx vecb) xx vecc|=3 and the angle between vecc and veca xx vecb " be " 30^(@) Then , veca . Vecc is equal to

Let veca=2hati+hatj-2hatk and vecb=hati+hatj . Let vecc be a vector such that |vecc-veca|=3,|(vecaxxvecb)xxvecc| = 3 and the angle between vecc and veca xx vecb is 30^@ Find veca.vecc

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

If veca=hati+hatj+hatk and vecb=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .

Let veca = hati + hatj +hatjk, vecc =hatj - hatk and a vector vecb be such that veca xx vecb = vecc and veca.vecb=3 . Then |vecb| equals:

If veca, vecb, vecc are unit vectors such that veca. vecb =0 = veca.vecc and the angle between vecb and vecc is pi/3 , then find the value of |veca xx vecb -veca xx vecc|

Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vecC=0 and the angle between vecB and vecC " be" pi//3 . Then vecA = +- 2(vecB xx vecC) .

Let veca=hati-2hatj+hatkand vecb=hati-hatj+hatk be two vectors. If vecc is a vector such that vecbxxvecc=vecbxxveca and vecc*veca=0, theat vecc*vecb is equal to:

Let veca=hati-hatj,vecb=hati+hatj+hatk and vecc be a vector such that vecaxxvecc+vecb=vec0 and veca.vecc=4 , then |vecc|^(2) is equal to:

Let veca=2hati-hatj+3hatk, vecb=hati+hatj-4hatk and non - zero vector vecc are such that (veca xx vecb)xx vecc =veca xx(vecb xx vecc) , then vector vecc may be

AAKASH INSTITUTE ENGLISH-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

    Text Solution

    |

  2. If a and b are unit vectors, then the vector defined as V=(a+b)times(a...

    Text Solution

    |

  3. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

    Text Solution

    |

  4. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

    Text Solution

    |

  5. A unit vector perpendicular to the plane passing through the points w...

    Text Solution

    |

  6. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

    Text Solution

    |

  7. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

    Text Solution

    |

  8. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

    Text Solution

    |

  9. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

    Text Solution

    |

  10. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

    Text Solution

    |

  11. If the verticles of a tetrahedron have the position vectors vec0, hati...

    Text Solution

    |

  12. If [(2veca+vecb)veccvecd]=lambda[vecaveccvecd]+mu[vecbveccvecd] then l...

    Text Solution

    |

  13. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  14. The position vectors of the sides of triangle are 3hati+4hatj+5hatk, h...

    Text Solution

    |

  15. vecb and vecc are non- collinear if veca xx (vecb xx vecc) + (veca .ve...

    Text Solution

    |

  16. Let veca = 2hati + hatj + hatk, and vecb = hati+ hatj if c is a vecto...

    Text Solution

    |

  17. vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, v...

    Text Solution

    |

  18. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

    Text Solution

    |

  19. If veca bot vecb then vector vecv in terms of veca and vecb satisfying...

    Text Solution

    |

  20. If veca, vecb,vecc are unit vectors such that veca is perpendicular to...

    Text Solution

    |