Home
Class 12
MATHS
Find the area of parallelogram whose adj...

Find the area of parallelogram whose adjacent sides are represented by the vectors `3hat(i)+hat(j)-2hat(k) and hat(i)-2hat(j)-hat(k)`.

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(61))/(2)` sq, units
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Find the area of the parallelogram whose adjacent sides are represented by the vectors (3 hat (i)+hat(j)-2 hat(k)) and (hat (i)-3 hat(j)+4 hat (k)).

Find the area of a parallelogram whose adjacent sides are represented by the vectors 2hat i-3hat k and 4hat j+2hat k

The cross product of two vectors gives a vector perpendicular to the plane containing the vectors. Area of parallelogram whose adjacent sides are represented by the vectors vec(a)=2hat(i)-hat(j)+hat(k) and vec(b)=3hat(i)-hat(j) is sq. units.

The area of the parallelogram whose sides are represented by the vector hat(j)+3hat(k) and hat(i)+2hat(j)-hat(k) is

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 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

The unit vector parallel to one of the diagonal of the parallelogram whose two adjacent sides are represented by the vectors 2hat i+4hat j-5hat k and hat i+2hat j+3hat k is

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 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

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise For Session 2
  1. Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat ka n d vec b=3 ...

    Text Solution

    |

  2. Find the values of gamma and mu for which (2hati+6hatj+27hatk)xx(hati+...

    Text Solution

    |

  3. If a=2hat(i)+3hat(j)-hat(k), b=-hat(i)+2hat(j)-4hat(k), c=hat(i)+hat(j...

    Text Solution

    |

  4. Prove that ( vec adot hat i)( vec axx hat i)+( vec adotj)( vec axx hat...

    Text Solution

    |

  5. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd then show that veca...

    Text Solution

    |

  6. If ( vec axx vec b)^2+( vec adot vec b)^2=144a n d| vec a|=4, then fin...

    Text Solution

    |

  7. If |a|=2,|b|=7 and vec ax vec b=3 hat i+2 hat j+6 hat k , find the...

    Text Solution

    |

  8. Let the vectors vec aa n d vec b be such that | vec a|=3| vec b|=(sqr...

    Text Solution

    |

  9. If |veca|=sqrt(26), |vecb|=7 and |vecaxxvecb|=35, find veca.vecb

    Text Solution

    |

  10. Find a unit vector perpendicular to the plane of two vectors a=hat(i)-...

    Text Solution

    |

  11. Find a vector of magnitude 15, which is perpendicular to both the vect...

    Text Solution

    |

  12. Let -> a= hat i+4 hat j+2 hat k , -> b=3 hat i-2 hat j+7 hat k and...

    Text Solution

    |

  13. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

    Text Solution

    |

  14. Find the area of the triangle whose adjacent sides are determined by t...

    Text Solution

    |

  15. Find the area of parallelogram whose adjacent sides are represented by...

    Text Solution

    |

  16. What is the area of the parallelogram having diagonals 3hat(i) + hat(j...

    Text Solution

    |

  17. A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector...

    Text Solution

    |

  18. Find the moment of vec F about point (2, -1, 3), where force vec ...

    Text Solution

    |

  19. Forces 2hat(i)+hat(j), 2hat(i)-3hat(j)+6hat(k) and hat(i)+2hat(j)-hat(...

    Text Solution

    |