Home
Class 12
MATHS
If vec(a) and vec(b) are the vectors suc...

If `vec(a)` and `vec(b)` are the vectors such that `|vec(a)|=3sqrt(3), |vec(b)|=4` and `|vec(a)+vec(b)|=sqrt(7)`, then the angle between `vec(a)` and `vec(b)` is

A

`120^(@)`

B

`60^(@)`

C

`30^(@)`

D

`150^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2005

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos
  • KARNATAKA CET 2007

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

Similar Questions

Explore conceptually related problems

Vectors vec(a), vec(b) and vec(c ) are such that vec(a) + vec(b) + vec(c ) = 0 and |vec(a)| = 3, |vec(b)| = 5 and |vec(c )| = 7 . Find the angle between vec(a) and vec(b) .

If vec a + vec b + vec c = 0 and |vec a|= 3, |vec b| = 4 and |vec c| = sqrt37 , then the angle between vec a and vec b is

If vec(a)=i-2 j + 3k, vec(b) is a vector such that vec(a).vec(b)= |vec(b)|^(2) |vec(a)-vec(b)|= sqrt7 , then |vec(b)| = ________

If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a and vec b is

If vec(a), vec(b) and vec(c ) are three unit vectors such that vec(a).vec(b) = vec(a).vec(c ) = 0 and angle between vec(b) and vec(c ) is (pi)/(6) , prove that vec(a) = +-2(vec(b) xx vec(c )) .

If vec a and vec b are two unit vectors such that vec a + 2 vec b and 5 vec a - 4 vec b are perpendicular to each other then the angle between vec a and vec b is

If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1 , then |vec(a) - vec(b)| =

If vec a and vec b are unit vectors such that |vec a + vec b| =1, then |vec a - vec b| =

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2006-MATHEMATICS
  1. A subset of the additive group of real numbers which is not a sub grou...

    Text Solution

    |

  2. If vec(p)=hat(i)+hat(j), vec(q)=4hat(k)-hat(j) and vec(r )=hat(i)+hat...

    Text Solution

    |

  3. If vec(a) and vec(b) are the vectors such that |vec(a)|=3sqrt(3), |vec...

    Text Solution

    |

  4. If vec(a) is vector perpendicular to both vec(b) and vec(c ), then

    Text Solution

    |

  5. If the area of the parallelogram with vec(a) and vec(b) as two adjacen...

    Text Solution

    |

  6. The locus of the point which moves such that the ratio of its distance...

    Text Solution

    |

  7. If the lines x+3y-9=0, 4x+by-2=0 and 2x-y-4=0 are concurrent, then b ...

    Text Solution

    |

  8. The lines represented by ax^(2)+2hxy+by^(2)=0 are perpendicular to ea...

    Text Solution

    |

  9. The equation of the circle having x-y-2=0 and x-y+2=0 as two tangents ...

    Text Solution

    |

  10. If the curve y=2x^(3)+ax^(2)+bx+c passes through the origin and the ta...

    Text Solution

    |

  11. A circular sector of perimeter 60 metre with maximum area is to be con...

    Text Solution

    |

  12. The tangent and the normal drawn to the curve y=x^(2)-x+4 at P(1,4) c...

    Text Solution

    |

  13. int((x^(3)+3x^(2)+3x+1))/((x+1)^(5))dx=

    Text Solution

    |

  14. int(cosec x)/(cos^(2)(1+"log tan"(x)/(2)))dx=

    Text Solution

    |

  15. The complex number ((-sqrt(3)+3i)(1-i))/((3+sqrt(3)i)(i)(sqrt(3)+sqrt(...

    Text Solution

    |

  16. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

    Text Solution

    |

  17. The modulus of amplitude of (1+i sqrt(3))^(8) are respectively

    Text Solution

    |

  18. The value of lim(x to 0)(5^(x)-5^(-x))/(2x)=

    Text Solution

    |

  19. Which one of the following is not true always?

    Text Solution

    |

  20. int (dx)/(x sqrt(x^(6)-16))=

    Text Solution

    |