Home
Class 12
MATHS
Find the area of the parallelogram havin...

Find the area of the parallelogram having two adjacent sides OA and OB where O is the origin and the position vectors of A and B are respectively `vec a= hat i+ 2 hat j+ 3 hat k`, `vec b= -3 hat i- 2 hat j+ hat k`.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 hat j + hat k

Find |vec a xx vec b| , if vec a = 2hat i-5 hat j+3 hat k and vec b = hat i-2 hat j +2 hat k .

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

Find the area of the triangle formed by O,A,B where : vec OA= hat i+ 2 hat j+ 3 hat k , vec OB = -3 hat i- 2 hat j+ hat k

Find the values of x,y and z so that the vectors vec a= x hat i + 2 hat j + z hat k and vec b = 2 hat I + y hat j+ hat k are equal.

Find vec a xx vec b , if vec a = - hat i + 3 hat k and vec b = hat i + 3 hat j - 2 hat k .

Find vec a* vec b if vec a= 2 hat i+ hat k and vec b= hat i+hat j+hat k

If vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k then vec a + vec b is

Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i+ 2 hat j+ hat k , vec OB = -hat i- 3 hat j+ hat k

Find a unit vector in the direction of the sum of the vectors: vec a= 2 hat i+ 2 hat j+ 5 hat k and vec b= 2 hat i+ hat j- 3 hat k .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 ...

    Text Solution

    |

  2. Determine the area of the parallelogram whose adjacent sides are the ...

    Text Solution

    |

  3. Find the area of the parallelogram having two adjacent sides OA and OB...

    Text Solution

    |

  4. Find the area of triangle PQR where P,Q,R have respectively coordinate...

    Text Solution

    |

  5. Find the area of the triangle formed by O,A,B where : vec OA= hat i+ ...

    Text Solution

    |

  6. Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i...

    Text Solution

    |

  7. If vec axx vec b= vec cxxvec d and vec axx vec c= vec bxxvec d, show t...

    Text Solution

    |

  8. Find the area of the triangle ABC where A,B,C are the points (a,0,0), ...

    Text Solution

    |

  9. Find the area of the triangle having the points A(1,1,1), B(1,2,3) and...

    Text Solution

    |

  10. If vec a= 2 hat i+ hat j- hat k, vec b= -hat i+ 2 hat j- 4 hat k and v...

    Text Solution

    |

  11. Calculate the product ((hat i- 2 hat j+ 3 hat k) cross (2 hat i+ hat j...

    Text Solution

    |

  12. If vec a= hat i- 2 hat j+ hat k, vec b= 2 hat i - hat j+ hat k and vec...

    Text Solution

    |

  13. Define the vector product of two vectors vec a and vec b. If vec a = 2...

    Text Solution

    |

  14. If vec a= 2 hat i+ 5 hat j- 7 hat k, vec b= -3 hat I + 4 hat j+ hat k ...

    Text Solution

    |

  15. If G is the centroid of triangle ABC, prove that area triangle AGB = ...

    Text Solution

    |

  16. If D, E, f are the mid-point of the sides of triangle ABC, prove that ...

    Text Solution

    |

  17. Using vectors prove that sin(alpha - beta)= sin alpha cos beta- cos al...

    Text Solution

    |

  18. If vec a= 2 hat i+ 3 hat j+ 6 hat k, vec b= 3 hat i- 6 hat j+ 2 hat k ...

    Text Solution

    |

  19. If vec a+ vec b + vec c= 0, show that vec axxvec b= vec bxx vec c= vec...

    Text Solution

    |

  20. Integrate the following int xSin(2x)dx

    Text Solution

    |