Home
Class 11
PHYSICS
Calculate the area of a paralleleogram w...

Calculate the area of a paralleleogram whose two adjacent sides are formed by the vectors
` vec A =3 hat I + 5 hat j and vec B =- 3 hat I + 7 hat j`.

Text Solution

Verified by Experts

`vec A xx vec B = |( hat I , gat j, hat k) ,(3, 5, 0), (-3, +7, 0)|`
`= hat I [0 -0] + hat j [0 -0] + hat k [21 + 15]`
`= +36 hat k`
`Area of parallelogram `=| vec A xx vec B|`
`= sqrt( 0^(2) + 0^(2) + (+36)^(2))`
` =36 sq. unt`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 4 SolvedExamples|31 Videos

  • KINEMATICS

    PRADEEP|Exercise 1 Conceptual Problems|2 Videos

  • KINEMATICS

    PRADEEP|Exercise 2 SolvedExamples|31 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors vec A xx 4 hat I + 3 hat j and vec B =- 3 hati +6 hat j.

Calculate the area of a paralleogeram whose adjcent sides are given by the vectors : vec A = hat i- 2 hat j= 3 hat k , and vec B = 2 hat I = 3 hat j- hat k .

Determine the area of the parallelogram whose adjacent sides are formed by the vectors vec A = hat i -3 hat j + hat k and vec B = hat i + hat j + hat k .

Find the area of a parallelogram whose adjacent sides are given by the vectors vec a=3hat i+hat j+4hat k and vec b=hat i-hat j+hat k

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a=hat i-hat j+3hat k and vec b=2hat i-hat 7hat j+hat k

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a=hat i-hat j+3hat k and vec b=2hat i-7hat j+hat k

Calculate the area of the parallelogram when adjacent sides are given by the vectors vec(A)=hat(i)+2hat(j)+3hat(k) and vec(B)=2hat(i)-3hat(j)+hat(k) .

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

Find the area of the triangle whose adjacent sides are determined by the vectors vec(a)=(-2 hat(i)-5 hat(k)) and vec(b)= ( hat(i)- 2 hat(j) - hat(k)) .

Find the area of the trinagle whose two adjacent sides are determined by the vectors (i) vec(a)= -2hat(i)-5 hat(k) and vec(b)=hat(i)- 2 hat(j)- hat(k) (ii) vec(a)= 3 hat(i)+ 4 hat(j) and vec(b)=-5hat(i)+7 hat(j).

PRADEEP-KINEMATICS-3 SolvedExamples
  1. Give vrc A =2 jati -hatj+3 hat k and vec B =3 hat I -2 hat j -2 hat k...

    Text Solution

    |

  2. A vector vec C when added to the resultant of the vectors vec A = 3 ha...

    Text Solution

    |

  3. If vec A =3 hat I + 4 hat j and vec B =7hat I + 14 hat j, find a vect...

    Text Solution

    |

  4. If the magniude of two vectors are 6 N and 3 N and magnitude of their ...

    Text Solution

    |

  5. For what value of (m), the vector vec A =2 hat I + 3 hat j -6 hat j is...

    Text Solution

    |

  6. If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j +...

    Text Solution

    |

  7. Find the component of a vector vec A = 3 hat I + 4 hat j along the di...

    Text Solution

    |

  8. If vectors vec A , vec B and vec Chave magnitudes 5, 12 and 13 units ...

    Text Solution

    |

  9. If vec A + vec B =3 hat I + 6 hat j + 2 hat k and vec A - vec B = 6 h...

    Text Solution

    |

  10. Unit vector hat(P) and hat(Q) are inclined at an angle theta. Prove th...

    Text Solution

    |

  11. Find the angle between force vec F =(3 hat I + 4 hat j -5 hat k) and ...

    Text Solution

    |

  12. Find the scalr and vector products of two vectors vec a =(3 hat I - 4...

    Text Solution

    |

  13. Show that vectors vec A =2 hat I -3 hat j - hat k and vec vec B =- ...

    Text Solution

    |

  14. Calculate the area of a paralleleogram whose two adjacent sides are fo...

    Text Solution

    |

  15. The diagonals if a parallele-gram are representde by vec d(1) =2 hat ...

    Text Solution

    |

  16. Determine the sine of the angle between the vectors . 2 hat I + 3 hat...

    Text Solution

    |

  17. Determine a unit vector whoch is perpendicular to both vec A =2 hat...

    Text Solution

    |

  18. The edges of a parallelopiped are geven by the vectors (2 hat I + 3 h...

    Text Solution

    |

  19. A paarticle starts from origin at t=0 with a vction 5.0 hat I m//s a...

    Text Solution

    |

  20. If vec A=hat I + 2 hat j -3 hat k, vec B =2 hat I -hat j + hat k and...

    Text Solution

    |