Home
Class 12
MATHS
The area of the parallelogram with vec a...

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

A

2980 sq. units

B

740 sq.units

C

1340 sq.units

D

3400 sq.units

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

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

[vec a + vec b vec b + vec c vec c + vec a] =

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

If [vec a, vec b, vec c] = 3 then the volume (in cubic units) of the parallelopiped with 2 vec a + vec b, 2 vec b + vec c and 2 vec c + vec a as coterminal edges is

If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b =

The inverse of the statement " If vec a = vec = 0 or vec b =vec 0 then vec a xx vec b =vec 0 is

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

The contrapositive of the statement " If vec a = vec 0 or vec b = vec 0 then vec a xx vec b = vec 0 " is

If vec a = i +j and vec b = j-k then the angle between vec a + vec b and vec a - vec b is

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a xx vec b = vec c and vec b xx vec c = vec a then

    Text Solution

    |

  2. If vec a, vec b, vec c are linearly independent vectors and Delta = |(...

    Text Solution

    |

  3. If pi(1) and pi(2) be two planes determined by the pairs of vectors ve...

    Text Solution

    |

  4. If vec a xx vec b = vec c and vec b xx vec c = vec a then

    Text Solution

    |

  5. For any vector vec r, (vec r . i)^(2) + (vec r .j)^(2) + (vec r . k )^...

    Text Solution

    |

  6. If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a...

    Text Solution

    |

  7. If |vec a| = 3, |vec b| = 5, and |vec c| = 4 and vec a + vec b + vec c...

    Text Solution

    |

  8. Let vec a, vec b and vec c be three vectors. Then scalar triple produc...

    Text Solution

    |

  9. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

    Text Solution

    |

  10. A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b...

    Text Solution

    |

  11. A vector coplanar with vector i+j and j+k and parallel to the vector 2...

    Text Solution

    |

  12. Let vec a = 2i+j-2k and vec b = i+j. If vec c is a vector such that ...

    Text Solution

    |

  13. The volume of the tetracedron formed by the points (1,1,1) (2,1,3),(3,...

    Text Solution

    |

  14. If |vec a| = 4, |vec b| = 2, |vec c| = 6 and each of the angles betwee...

    Text Solution

    |

  15. The area of the parallelogram with vec a and vec b as adjacent sides i...

    Text Solution

    |

  16. If the triangle with vertices 2i+j, 2j+k, mk+i, has centroid at i+j+k,...

    Text Solution

    |

  17. Let vec a = i-2j+3k, vec b = 3i+3j-k and vec c = di + j + (2d-1)k. If ...

    Text Solution

    |

  18. If [vec a, vec b, vec c] = 3 then the volume (in cubic units) of the p...

    Text Solution

    |

  19. If D, E, F are respectivley the mid points of AB, AC and BC respective...

    Text Solution

    |

  20. If (vec a xx vec b) xx vec c = vec a xx (vec b xx vec c), where vec a,...

    Text Solution

    |