Home
Class 12
MATHS
In a tetrahedron OABC, if OA=hat(i), OB=...

In a tetrahedron OABC, if `OA=hat(i), OB=hat(i)+hat(j) and OC=hat(i)+2hat(j)+hat(k)`,if shortest distance between egdes OA and BC is m, then `sqrt(2)m` is equal to …(where O is the origin).

Text Solution

Verified by Experts

The correct Answer is:
`(1)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|36 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the angle between hat(i)+hat(j)+hat(k) and hat(i)+hat(j)-hat(k) .

If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

[[hat(i), hat(j), hat(k)]]+[[hat(k), hat(j), hat(i)]]+[[hat(j), hatk, hat(i)]]=

Angle between hat(i)-hat(j) and hat(j)-hat(k) is ____________.

If a=hat(i)+hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=3hat(i)-hat(k) and c=ma+nb , then m+n is equal to

If vector hat(i)+hat(j)+hat(k), hat(i)-hat(j)+hat(k) and 2hat(i)+3hat(j)+lambda hat(k) are coplanar, then lambda is equal to

The angle between the vectors : vec(a)=hat(i)+2hat(j)-3hat(k) and 3hat(i)-hat(j)+2hat(k) is :

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Integer Answer Type Questions)
  1. In a tetrahedron OABC, if OA=hat(i), OB=hat(i)+hat(j) and OC=hat(i)+2h...

    Text Solution

    |

  2. Aparallelopiped is formed by planes drawn through the points (2, 3, 5)...

    Text Solution

    |

  3. If the perpendicular distance of the point (6 5, 8) from the Y-axis is...

    Text Solution

    |

  4. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

    Text Solution

    |

  5. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  6. If xz-plane divide the join of point (2, 3, 4) and (1, -1, 5) in the r...

    Text Solution

    |

  7. If the triangle ABC whose vertices are A(-1, 1, 1), B(1, -1, 1) and C(...

    Text Solution

    |

  8. The equation of a plane which bisects the line joining (1, 5, 7) and (...

    Text Solution

    |

  9. The shortest distance between origin and a point on the space curve ...

    Text Solution

    |

  10. The plane 2x-2y+z+12=0 touches the surface x^2+y^2+z^2-2x-4y+2z-3=0 on...

    Text Solution

    |

  11. If the centroid of tetrahedron OABC where A,B,C are given by (a,2,3),(...

    Text Solution

    |

  12. If the circumcentre of the triangle whose vertices are (3, 2, -5), (-...

    Text Solution

    |

  13. If overline(P1P2) is perpendicular to overline(P2P3), then the value o...

    Text Solution

    |

  14. Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and...

    Text Solution

    |

  15. Let P(a, b, c) be any on the plane 3x+2y+z=7, then find the least valu...

    Text Solution

    |

  16. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

    Text Solution

    |

  17. The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/...

    Text Solution

    |

  18. The position vectors of the four angular points of a tetrahedron OABC ...

    Text Solution

    |

  19. Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday...

    Text Solution

    |

  20. If the lattice point P(x, y, z) , x, y, zgto and x, y, zinI with least...

    Text Solution

    |