Home
Class 12
MATHS
If the area of the parallelogram with ve...

If the area of the parallelogram with `vec(a)` and `vec(b)` as two adjacent sides is 15 sq. units, then the area of the parallelogram having `3vec(a)+2vec(b)` and `vec(a)+3vec(b)` as two adjacent sides in sq. units is

A

120

B

105

C

75

D

45

Text Solution

Verified by Experts

The correct Answer is:
B
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

The area of the parallelogram with vec a and vec b as adjacent sides is 20 sq. units. Then the areaof the parallelogram having 7 vec a + 5 vec b and 8 vec a + 11 vec b as adjacent sides is

If OACB is a parallelogram with vec OC = vec a and vec AB = vec b then vec OA =

If vec(a) and vec(b) are two unit vectors inclined at an angle pi/3 , then the value of |vec(a)+vec(b)| is

If vec(a) = 2hat(i) - 3hat(j) + hat(k), vec(b) = -hat(i) + hat(k), vec(c ) = 2hat(j) - hat(k) are three vectors, find the area of the parallelogram having diagonals vec(a) + vec(b) and vec(b) + vec(c ) .

Evaluate the product (3vec(a)-5vec(b)).(2vec(a)+7vec(b)) .

If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |vec(a)| , then prove tat 2vec(a) + vec(b) is perpendicular to vec(b) .

If vec(a) and vec(b) are two units vector inclined at an angle of (pi)/(3) , then value of |vec(a) + vec(b)| is

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-KARNATAKA CET 2006-MATHEMATICS
  1. If vec(a) and vec(b) are the vectors such that |vec(a)|=3sqrt(3), |vec...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If I(1)= int(0)^(pi//2) x sin x dx and I(2)=int(0)^(pi//2) x cos x dx,...

    Text Solution

    |

  20. If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))...

    Text Solution

    |