Home
Class 12
MATHS
Let a= 2hat(i) -2hat(k) , b=hat(i) +hat...

Let `a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) ` and c be a vectors such that `|c-a| =3, |(axxb)xx c|=3` and the angle between c and `axx b" is "30^(@)` . Then a. c is equal to

A

`1//8`

B

`25//8`

C

2

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Let a= 2hat(i)+ hat(j) -2hat(k) , b=hat(i) +hat(j) and c be a vectors such that |c-a| =3, |(axxb)xx c|=3 and the angle between c and axx b" is "30^(@) . Then a. c is equal to

Let a= hat(i) - hat(j) , b=hat(i) + hat(j) + hat(k) and c be a vector such that axx c + b=0 " and " a. c =4, then |c|^(2) is equal to

If vec(a) = 2hat(i) + 2hat(j) + 3hat(k), vec(b)= - hat(i) + 2hat(j) + 3 and vec(c ) = 3hat(i) + hat(j) are three vectors such that vec(a) + t vec(b) is perpendicular to c. then what is t equal to?

Let vec a=3 hat i+2 hat j+hat k,vec b=2 hat i-hat j+3 hat k and vec c be a vector such that (vec a+vec b)timesvec c=2(vec a timesvec b)+24 hat j-6 hat k and (vec a-vec b+hat i)*vec c=-3 .Then |vec c|^(2) is equal to:

If vec(a)=2hat(i)+2 hat(j)+3hat(k), vec(b)=-hat(i)+2hat(j)+hat(k) and vec(c)=3hat(i)+hat(j) are three vectors such that vec(a)+t vec(b) is perpendicular to vec(c) , then what is t equal to ?

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

If vec a=hat j-hat k and vec c=hat i+hat j+hat k are given vectors,and vec b is such that a vec a*vec b=3 and vec a xxvec b+vec c=0 then is equal to

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. In a triangle ABC , right angled at the vertex A , if the position vec...

    Text Solution

    |

  2. Let ABC be a triangle whose circumcenter is at P, if the positions vec...

    Text Solution

    |

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

    Text Solution

    |

  4. The area (in sq units) of the parallelogram whose diagonals are along ...

    Text Solution

    |

  5. If b=3j+4k, is written as sum of a vector b(1) parallel to a=i+j and a...

    Text Solution

    |

  6. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  7. If a, b and c are unit vectors such that a+2b+2c=0," then "abs(a times...

    Text Solution

    |

  8. If the position vectors of the vertices A,B and C of a triangleABC are...

    Text Solution

    |

  9. Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3...

    Text Solution

    |

  10. Let alpha = (lambda-2) a ne b and beta =(4lambda -2)a + 3b be two give...

    Text Solution

    |

  11. Let sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj r...

    Text Solution

    |

  12. Let a= hat(i) + 2hat(j) + 4hat(k) " " b= hat(i) = lambda hat(j) +...

    Text Solution

    |

  13. Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a ...

    Text Solution

    |

  14. Let veca = 2hati+(lambda)1hatj+3hatk , vec(b)=4hati+(3-(labda)2)hatj+6...

    Text Solution

    |

  15. Let a=hat(i)+hat(j)+sqrt(2)hat(k),b=b(1)hat(i)+b(2)hat(j)+sqrt(2)hat(...

    Text Solution

    |

  16. The sum of the distinct real values of mu for which the vectors, muha...

    Text Solution

    |

  17. Let a , b and c be three unit vectors out of which vectors b an...

    Text Solution

    |

  18. Let alpha=3i+j" and "beta=2i-j+3k." If "beta=beta(1)-beta(2), " where ...

    Text Solution

    |

  19. Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for s...

    Text Solution

    |

  20. If unit vector a makes angles pi/3 with i, pi//4 with j and theta in (...

    Text Solution

    |