Home
Class 12
MATHS
The area of the parallelogram with diago...

The area of the parallelogram with diagonals `hati+hatj` and `hatj+hatk` is ……………..

A

`sqrt(3)`

B

`(3)/(2)`

C

`(sqrt(3))/(2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-A)|6 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-B)|4 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

The area of the parallelogram whose diagonals are hatj+hatk and hati+hatk is ……….

The area of the parallelogram whose adjacent side is hati+hatk and hati+hatj is ………….

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

Find the area of the parallelogram whose diagonals are determined by the vectors 3hati+hatj-2hatk and hati-3hatj+4hatk .

bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj+11hatk are vectors. The area of the parallelogram whose diagonals are bar(a)+bar(b) and bar(b)+bar( c ) is …………..

Find the area of the parallelogy whose diagonals are determined the vectors 2hati+hatk and hati+hatj+hatk .

If a=2hati-3hatj+hatk,b=-hati+hatk,c=2hatj-hatk , then the area (in sq units) of parallelogram with diagonals a+b and b+c will be

The magnitude of the projection of hati+3hatj+7hatk on 7hati-hatj+8hatk is ……………..

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

The adjacent sides of a parallelogram are 2hati-4hatj+5hatk and hati-2hatj-3hatk . Find the unit vector parallel to its diagonal. Also find the area of the parallelogram.

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""(,)^(hat)bar(b))...

    Text Solution

    |

  2. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

    Text Solution

    |

  3. The area of the parallelogram with diagonals hati+hatj and hatj+hatk i...

    Text Solution

    |

  4. The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

    Text Solution

    |

  5. If |bar(x)|=7.|bar(y)|=sqrt(2),bar(x)xx bar(y)=(6,2,3) then |bar(x).ba...

    Text Solution

    |

  6. The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and...

    Text Solution

    |

  7. A(-1, 2, 3), B(1, 1, 1) and C(2, -1, 3) are three points in the plane....

    Text Solution

    |

  8. If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between ba...

    Text Solution

    |

  9. bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),ba...

    Text Solution

    |

  10. (bar(a)xx bar(b))^(2) = ……………..

    Text Solution

    |

  11. |bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each ...

    Text Solution

    |

  12. bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj...

    Text Solution

    |

  13. In DeltaABC, the bisector of angleA is bar(AD). bar(AD)=alpha bar(AB...

    Text Solution

    |

  14. The vector bar(a)=(x,y,z) makes an obtuse angle with y- axis. bar(b)=(...

    Text Solution

    |

  15. The vectors bar(a) and bar(b) are unit vectors perpendicular to each o...

    Text Solution

    |

  16. bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).ba...

    Text Solution

    |

  17. The modulus of the vectors bar(a) and bar(b) are 2 and 3 respectively....

    Text Solution

    |

  18. For a vector bar(a),bar(a)xx vec( r )=bar(j) then bar(a).bar( r ) = ……...

    Text Solution

    |

  19. If bar(mu)=bar(a)-bar(b),bar(v)=bar(a)+bar(b),|bar(a)|=|bar(b)|=2 then...

    Text Solution

    |

  20. In a parallelogram ABCD, vec(AB)=hati+hatj+hatk and diagonal vec(AC)=h...

    Text Solution

    |