Home
Class 12
MATHS
If the area of the parallelogram whose a...

If the area of the parallelogram whose adjacent sides are `3 vec(i) - 4vec(j) +lamda vec(k), 2vec(j)- 4vec(k)` is `sqrt436` sq. units `(lamda ge 0)`, then `lamda=`

A

0

B

4

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C (Triple product of Vectors|112 Videos
  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -A|13 Videos
  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1A|50 Videos
  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

Similar Questions

Explore conceptually related problems

The vector area of the parallelogram whose adjacent sides vec(i) + vec(j) + vec(k) and 2vec(i)-vec(j) + 2vec(k) is

The area of the parallelogram whose adjacent sides are 3vec(i) + 2vec(j) + vec(k), 3vec(i) + vec(k) " is " (p)/(2) sq.u, then p=

The vector area of the rectangle whose adjacent sides are p vec(i), q vec(j) is

The vector area of the parallelogram whose diagonals are vec(i) + 2vec(j) + 3vec(k), -vec(i) - 2vec(j) + vec(k) is

The area of the parallelogram is 4sqrt29 sq.u. If one of adjacent sides is 3vec(i) + 4vec(j) , then the other side is

If vec(a).vec(i)=4 , then (vec(a) . vec(j))xx (2vec(j)-3vec(k)) =

A unit vector perpendicular to 2vec(i) + 3vec(j) + 4vec(k) and 3vec(j) + 2vec(k) is

The area of the triangle formed by thepoints whose position vectors are 3vec(i) + vec(j), 5vec(i) + 2vec(j) + vec(k) and vec(i) -2vec(j) + 3vec(k) is (in sq.u)

A vector of magnitude 6 which is perpendicular to both 4vec(i) - vec(j) + 3vec(k) and -2vec(i) + vec(j) - 2vec(k) is

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. The area of the triangle formed by the points whose position vectors a...

    Text Solution

    |

  2. The area of the triangle with vertices (1,2,3), (2,5,-1), (-1,1,2) is

    Text Solution

    |

  3. The vector area of the Delta ABC whose vertices are a,b,c is

    Text Solution

    |

  4. If a,b,c are the position vectors of A,B,C of Delta ABC then (a xx b) ...

    Text Solution

    |

  5. If |vec(a)|=sqrt3, |vec(b)|=2, (vec(a), vec(b))= (pi)/(3), then the ar...

    Text Solution

    |

  6. If the area of the parallelogram whose adjacent sides are 3 vec(i) - 4...

    Text Solution

    |

  7. If a = 2i + 2j + k, a.b = 14, a xx b = 3i + j - 8k then b =

    Text Solution

    |

  8. If a = (1,1,1) c = (0,1, -1) are given vectors then a vector b satisfy...

    Text Solution

    |

  9. If a = 2i + k, b = I + j + k, c = 4i - 3j + 7k. The vector r satisfyin...

    Text Solution

    |

  10. The vector c is perpendicular to both a = (1, -2, -1), b = (2, 1, -1) ...

    Text Solution

    |

  11. If a,b are two unit perpendicular vectors and c is a unit vector which...

    Text Solution

    |

  12. If a = I + 2j + 3k, b = -I + 2j + k, c = 3i + j and d is normal to bot...

    Text Solution

    |

  13. If x.a = 0, x xx b = c xx b then x =

    Text Solution

    |

  14. r xx a = b xx a, r xx b = a xx b, r xx b = a xx b, != 0, b != 0, a != ...

    Text Solution

    |

  15. Let a = I + j, b = 2i - k. Then the point of intersection of the lines...

    Text Solution

    |

  16. The perpendicular distance from A (1,4, -2) to the line BC, where B = ...

    Text Solution

    |

  17. The perpendicular distance from the point 3i - 2j + k to the line join...

    Text Solution

    |

  18. If A (1,2,3), B (2,3,1), C (3,1,2) then the length of the altitude thr...

    Text Solution

    |

  19. The torque about the point 2i + j - K of a force represented by 4i + k...

    Text Solution

    |

  20. A force F = 2i - lambdaj + 5k is applied at the point A (1,2,5). If it...

    Text Solution

    |