Home
Class 12
MATHS
The area (in sq units) of the parallelog...

The area (in sq units) of the parallelogram whose diagonals are along the vectors `8hati - 6hatj` and `3hati + 4hatj - 12hatk` is:

A

26

B

65

C

20

D

52

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The area of the parallelogram whose diagonals are the vectors hati+3hatj- 2hatk and 3hati+hatj-4hatk

Determine the area of a parallelogram whose diagonals are given by vectors 3hati+2hatj-7hatk and 5hati+6hatj-3hatk .

find the area of a parallelogram whose diagonals are veca=3hati+hatj-2hatk and vecb=hati-3hatj+4hatk .

Show that area of the parallelogram whose diagonals are given by veca and vecb is (|veca xx vecb|)/2 . Also, find the area of the parallelogram, whose diagonals are 2hati - hatj + hatk and hati + 3hatj - hatk .

Find the area of the parallelogram whose adjacent sides are represented by the vectors hati+2hatj+3hatk and 3hati-2hatj+hatk .

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati-3hatj+4hatk will be:

Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati-3hatj+4hatk will be :

Find the area of the parallelogram whose one side and a diagonal are represented by coinitial vectors hati - hatj + hatk and 4 hati + 5 hatk respectively

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Let ABC be a triangle whose circumcenter is at P, if the positions vec...

    Text Solution

    |

  2. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

    Text Solution

    |

  3. The area (in sq units) of the parallelogram whose diagonals are along ...

    Text Solution

    |

  4. If b=3j+4k, is written as sum of a vector b(1) parallel to a=i+j and a...

    Text Solution

    |

  5. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  6. If a, b and c are unit vectors such that a+2b+2c=0," then "abs(a times...

    Text Solution

    |

  7. If the position vectors of the vertices A,B and C of a triangleABC are...

    Text Solution

    |

  8. Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3...

    Text Solution

    |

  9. Let alpha = (lambda-2) a ne b and beta =(4lambda -2)a + 3b be two give...

    Text Solution

    |

  10. Let sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj r...

    Text Solution

    |

  11. Let a= hat(i) + 2hat(j) + 4hat(k) " " b= hat(i) = lambda hat(j) +...

    Text Solution

    |

  12. Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a ...

    Text Solution

    |

  13. Let veca = 2hati+(lambda)1hatj+3hatk , vec(b)=4hati+(3-(labda)2)hatj+6...

    Text Solution

    |

  14. Let a=hat(i)+hat(j)+sqrt(2)hat(k),b=b(1)hat(i)+b(2)hat(j)+sqrt(2)hat(...

    Text Solution

    |

  15. The sum of the distinct real values of mu for which the vectors, muha...

    Text Solution

    |

  16. Let a , b and c be three unit vectors out of which vectors b an...

    Text Solution

    |

  17. Let alpha=3i+j" and "beta=2i-j+3k." If "beta=beta(1)-beta(2), " where ...

    Text Solution

    |

  18. Let a=3hat(i) +2hat(j)+xhat(k) " and " b=hat(i)-hat(j) +hat(k) for s...

    Text Solution

    |

  19. If unit vector a makes angles pi/3 with i, pi//4 with j and theta in (...

    Text Solution

    |

  20. if the volume of parallelopiped formed by the vectors hati+lamdahatj+h...

    Text Solution

    |