Home
Class 12
MATHS
bar(OA)=i+2j+3k bar(OB)=i-2j+4k bar(...

`bar(OA)=i+2j+3k`
`bar(OB)=i-2j+4k`
`bar(OC)=2i+3j+k`
are adjacent sides of the parallelopiped.
Find the volume of the parallelopiped.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|106 Videos

  • VECTOR ALGEBRA

    MAXIMUM PUBLICATION|Exercise EXAMPLE|107 Videos

Similar Questions

Explore conceptually related problems

bar(OA)=i+2j+3k bar(OB)=i-2j+4k bar(OC)=2i+3j+k are adjacent sides of the parallelopiped. Find the height of the parallelopiped.

bar(OA)=i+2j+3k bar(OB)=i-2j+4k bar(OC)=2i+3j+k are adjacent sides of the parallelopiped. Find the base area of the parallelopiped. (Base determined by bar(OA) and bar(OB) )

If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides of a trianglePQR .Find the length of the median through the vertex P.

If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides of a trianglePQR Find the angle between vec(PQ) and vec(PR)

If veca=3i+j+2k, FInd magnitude of vec a

Find the direction cosine of the vector 2i+2j-k.

Given the straight lines barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2k+mu(3i+2j+6k) Form the equation of the line perpendicular to the given lines and passing through the point(1,1,1)

Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu(2j-k) Find the equation of the line passing through the point of intersection of lines and perpendicular to both the lines.

Consider the pair of lines barr=3i+4j-2k+lambda(-i+2j+k) …. L_1 , barr=i-7j-2k+mu(i+3j+2k) …. L_2 Find one point each on lines L_1 and L_2 . Find the distance between those points.

Let bar(a)= hat(i) + hat(j) + hat(k), bar(b)= hat(i) + 3hat(j) + 5hat(k) and bar(c )= 7hat(i) + 9hat(j) + 11hat(k) . Then, the area of the parallelogram with diagonals bar(a) + bar(b) and bar(b) + bar(c ) is

MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Consider three points on space (2,1,0),(3,-2,-2) and (3,1,7) Find th...

    Text Solution

    |

  2. bar(OA)=i+2j+3k bar(OB)=i-2j+4k bar(OC)=2i+3j+k are adjacent sid...

    Text Solution

    |

  3. bar(OA)=i+2j+3k bar(OB)=i-2j+4k bar(OC)=2i+3j+k are adjacent sid...

    Text Solution

    |

  4. bar(OA)=i+2j+3k bar(OB)=i-2j+4k bar(OC)=2i+3j+k are adjacent sid...

    Text Solution

    |

  5. Find the equation of the line passing through the point (2,1,0) and (3...

    Text Solution

    |

  6. Find the equation of the line passing through the point (2,1,0) and (3...

    Text Solution

    |

  7. The equation of two lines are (x-1)/2=(y-2)/2=(z-3)/3 and x/-3=y/2=z/5...

    Text Solution

    |

  8. The equation of two lines are (x-1)/2=(y-2)/2=(z-3)/3 and x/-3=y/2=z/...

    Text Solution

    |

  9. The equation of two lines are (x-1)/2=(y-2)/2=(z-3)/3 and x/-3=y/2=z...

    Text Solution

    |

  10. Find the direction cosine of the vector 2i+2j-k.

    Text Solution

    |

  11. Find the distance of the point (2,3,4) from the plane barr.(3i-6j+2k)=...

    Text Solution

    |

  12. Find the shortest distance between the lines barr=(2i-j-k)+lambda(3i-5...

    Text Solution

    |

  13. Find the equation of the Plane with intercepts 2,3,4 on X,Y,Z axes res...

    Text Solution

    |

  14. Find the distance of the point (-1,-2,3) from the Plane barr.(2i-3j+4k...

    Text Solution

    |

  15. Consider the points A(2,2,-1), B(3,4,2), C(7,0,6).Find AB.

    Text Solution

    |

  16. Consider the points A(2,2,-1), B(3,4,2), C(7,0,6).Find the Cartesian a...

    Text Solution

    |

  17. Consider the points A(3,-4,-5) and B(2,-3,1) Find the vector and Car...

    Text Solution

    |

  18. Consider the points A(3,-4,-5) and B(2,-3,1) Find the point where th...

    Text Solution

    |

  19. Find the Cartesian equation of the plane passing through the point (1,...

    Text Solution

    |

  20. Find the Cartesian equation of the plane passing through the point (1,...

    Text Solution

    |