Home
Class 12
MATHS
If |vec(a)| = 5, |vec(b)| = 6 and the an...

If `|vec(a)| = 5, |vec(b)| = 6` and the angle between `vec(a)` and `vec(b)` is `60^(@)`, then `vec(a).vec(b)` =

A

30

B

15

C

`15sqrt(3)`

D

`5sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 6

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • SOLVED PAPER 04

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If |vec(a)| = sqrt(3), |vec(b)| = 2 and angle between vec(a) and vec(b) is 60^(@) , find vec(a).vec(b) .

If |vec a| =4 , |vec b | = 2 and angle between vec a and vec b is pi/6 , then (vec a xx vec b)^(2) is

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

If |vec a| = 4, |vec b| = 2, |vec c| = 6 and each of the angles between the vectors is 60^(o) then |vec a + vec b + vec c| =

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

If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec b

If vec(a) and vec(b) are unit vectors, then find the angle between vec(a) and vec(b) , given that (sqrt(3)vec(a) - vec(b)) is a unit vector.

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. If a = I + j, b = j + k and c = k +i, a unit vector parallel to a + b...

    Text Solution

    |

  2. If |vec(a) + vec(b)| = |vec(a) - vec(b)| then

    Text Solution

    |

  3. If |vec(a)| = 5, |vec(b)| = 6 and the angle between vec(a) and vec(b) ...

    Text Solution

    |

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

    Text Solution

    |

  5. {:(" "Lt),(x rarr 0):} [(x)/(sqrt(1+x)-sqrt(1-x))] =

    Text Solution

    |

  6. If y = sin x^(0), (dy)/(dx) =

    Text Solution

    |

  7. If y = tan^(-1)((x+a)/(1-xa)) then (dy)/(dx) =

    Text Solution

    |

  8. If x^(y) = e^(x-y), (dy)/(dx) =

    Text Solution

    |

  9. If x = a(cos theta + theta sin theta), y = a (sin theta - theta cos th...

    Text Solution

    |

  10. The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...

    Text Solution

    |

  11. The distance s feet travelled by a particle in time t seconds is given...

    Text Solution

    |

  12. The angle between the curves xy = 2 and y^(2) = 4x at their point of ...

    Text Solution

    |

  13. A point of inflection of the curve y = e^(-x^(2)) is

    Text Solution

    |

  14. In what ratio should a given line be divided into a parts so that’s th...

    Text Solution

    |

  15. int""(1)/(1-cosx)dx=

    Text Solution

    |

  16. int log x dx=

    Text Solution

    |

  17. What does this equation x^2 - 4y^2 - 2x + 16y - 40 =0 represent?

    Text Solution

    |

  18. The locus of the centre of a circle which touches externally two given...

    Text Solution

    |

  19. The eccentricity of the hyperbola 4x^(2) - 9y^(2) - 8x - 32 = 0 is

    Text Solution

    |

  20. The eccentricity of the rectangular hyperbola is

    Text Solution

    |