Home
Class 11
PHYSICS
The area of the parallelogram whose diag...

The area of the parallelogram whose diagonals are `vec(P)= 2hat(i)+3hat(j)` and `vec(Q)= hat(i)+4hat(j)`is

A

5 square units

B

10 square units

C

20 square units

D

2.5 square units

Text Solution

Verified by Experts

The correct Answer is:
D
`Area= 1/2|vec(P)xxvec(Q)|=|1/2||(hat(i),hat(j),hat(k)),(2,3,0),(1,4,0)|`
`=|1/2[2xx4-3xx1]hat(k)|=5/2`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    A2Z|Exercise Problems Based On Mixed Concepts|32 Videos

  • VECTORS

    A2Z|Exercise Assertion Reasoning|17 Videos

  • VECTORS

    A2Z|Exercise Dot Product|22 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The area of the paralleogram represented by the vectors vec(A)= 2hat(i)+3hat(j) and vec(B)= hat(i)+4hat(j) is

Find the area of the parallelogram whose diagonals are 2hat i+hat j and hat i+hat j+hat k

The area of the triangle whose adjacent sides are : vec(a)=3hat(i)+hat(j)+4hat(k) and vec(b)=hat(i)-hat(j)+hat(k) is :

Find the area of the parallelogram whose diagonals are: 3hat i+4hat j and hat i+hat j+hat k

Find the area of the parallelogram whose diagonals are: 2hat i+hat k and hat i+hat j+hat k

Find the area of the parallelogram whose diagonals are :4hat i-hat j-3hat k and -2hat i+hat j-2hat k

Find the area of the parallelogram whose diagonals are: 4hat i-hat j-3hat k and -2hat i+hat j-2hat k

Find the area a parallelogram whose diagonals are vec a=3hat i+hat j-2hat k and vec b=hat i-3hat j+4hat k

Find the area of the parallelogram whose diagonals are represented by the vectors vec(d)_(1)=(2 hat(i) - hat(j)+ hat(k)) and vec(d)_(2) = (3 hat(i) + 4 hat(j) - hat(k)).

Find the area of the parallelogram whose diagonals are represented by the vectors (i) vec(d)_(1)= 3 hat(i) + hat(j) - 2 hat(k) and vec(d)_(2) = hat(i) - 3 hat(j) +4 hat(k) (ii) vec(d)_(1)= 2 hat(i) - hat(j) + hat(k) and vec(d)_(2)= 3 hat(i) + 4 hat(j)-hat(k) (iii) vec(d)_(1)= hat(i)- 3 hat(j) + 2 hat(k) and vec(d)_(2)= -hat(i)+2 hat(j).

A2Z-VECTORS-Cross Product
  1. The angle between Vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  2. What is the anlge between vec P xx vec Q and vec Q xx vec P is

    Text Solution

    |

  3. What is the unit vector perpendicular to the following Vector 2hat(i)+...

    Text Solution

    |

  4. The area of the parallelogram whose sides are represented by the vecto...

    Text Solution

    |

  5. The position of the particle is given by vec(r )=(vec(i)+2vec(j)-vec(k...

    Text Solution

    |

  6. If A=5 units,B=6 units and |vec(A)xxvec(B)|= 15 units, then what is th...

    Text Solution

    |

  7. The area of the parallelogram whose diagonals are vec(P)= 2hat(i)+3hat...

    Text Solution

    |

  8. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

    Text Solution

    |

  9. If a vector vec(A) is parallel to another vector vec(B) then the resul...

    Text Solution

    |

  10. If vec(A)=3hat(i)+hat(j)+2hat(k) and vec(B)=2hat(i)-2hat(j)+4hat(k), t...

    Text Solution

    |

  11. Which of the following is the unit vector perpendicular to vec(A) and ...

    Text Solution

    |

  12. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

    Text Solution

    |

  13. The angle between vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  14. The angle between Vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    Text Solution

    |

  15. Two vector vec(A) and vec(B) have equal magnitudes. Then the vector ve...

    Text Solution

    |

  16. The value of (vec(A)+vec(B))xx(vec(A)-vec(B)) is

    Text Solution

    |

  17. Two adjacent sides of a parallelogram are respectively by the two vect...

    Text Solution

    |

  18. The vector from origion to the point A and B are vec(A)=3hat(i)-6hat(j...

    Text Solution

    |

  19. What is the unit vector perpendicular to the following Vector 2hat(i)+...

    Text Solution

    |

  20. If |vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B), then the value of |vec(A)+ve...

    Text Solution

    |