Home
Class 12
MATHS
The square of the shortest distance betw...

The square of the shortest distance between the lines : `vecr=s(hati-hatj-hatk) and vecr=3hatj+t(hati-hatk)` is :

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines : vecr=hati-hatj+lamda(2hati+hatk) and vecr=2hati-hatj+mu(hati+hatj-hatk)

Find the shortest distance (S.D.) between the lines : vecr=hatj+lamda(3hati+hatj-2hatk) and vecr=2hati+3hatj-hatk+mu(2hati-hatj+4hatk)

Find the shortest distance and the equation of the shortest distance between the following two lines: vecr=(-hati+hatj+9hatk)+lambda(2hati+hatj-3hatk) and vecr=(3hati-15hatj+9hatk)+mu(2hati-7hatj+5hatk)

Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vecr*(3hati-3hatj+5hatk)=3

Find the shortest distance and the vector equation of the line of shortest distance between the lines given by : vecr= (-4hati+4hatj+hatk)+lambda(hati+hatj-hatk) and vecr=(-3hati-8hatj-3hatk)+mu(2hati+3hatj+3hatk) .

Find the shortest distance and the vector equation of the line of shortest distance between the lines given by : vecr= (3hati+8hatj+3hatk)+lambda(3hati-hatj+hatk) and vecr=(-3hati-7hatj+6hatk)+mu(-3hati+2hatj+4hatk) .

Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=-4hati-hatk+mu(3hati-2hatj-2hatk) .

The acute angle between the planes vecr.(2hati-3hatj+hatk)=1 and vecr.(hati-2hatj)=2 is………………. .

Find the acute angle between the planes vecr.(hati+2hatj-hatk)=3 and vecr.(2hati-hatj+2hatk)=2 .

Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+lamda(hati-2hatj+2hatk) and vecr=-4hati+hatk+mu(3hati-2hatj-hatk) .

MODERN PUBLICATION-EXCLUSIVELY FOR JEE(ADVANCED)-EXERCISE
  1. Suppose that vecp, vecq and vecr are three non-coplanar vectors in R^3...

    Text Solution

    |

  2. Let veca,vecb and vecc be three non-coplanar unit vectors such that th...

    Text Solution

    |

  3. The square of the shortest distance between the lines : vecr=s(hati-ha...

    Text Solution

    |

  4. Write the set A={x:x is an integer,−1≤x≤4} in roster form.

    Text Solution

    |

  5. If |veca|=3, |vecb|=1 and |veca+vecb|=|veca-vecb|, then |veca xx vecb|...

    Text Solution

    |

  6. If |veca|=|vecb|=|vecc|=1 and veca*vecb=vecb*vecc=vecc*veca=1/2, then ...

    Text Solution

    |

  7. Consider the lines : L1: (x-7)/3=(y-7)/2=(z-3)/1 and L2: (x-1)/2=(y+1)...

    Text Solution

    |

  8. Value of lambda so that the planes: x-y+z+1=0, lambdax+3y+2z-3=0, 3x+l...

    Text Solution

    |

  9. If A and B are two events of an expeiment with P(A)=1/4, P(AuuB)=1/2, ...

    Text Solution

    |

  10. One function is selected at random from all functions of the set S={1,...

    Text Solution

    |

  11. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  12. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  13. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

    Text Solution

    |

  14. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

    Text Solution

    |

  15. Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...

    Text Solution

    |

  16. Box 1 contains three cards bearing number 1,2,3 , box 2 contains five ...

    Text Solution

    |

  17. A fair die is tossed repeated until a six is obtained. Let X denote th...

    Text Solution

    |

  18. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  19. Let n1 and n2 be the number of red and black balls respectively, in bo...

    Text Solution

    |

  20. Let n1 and n2 be the number of red and black balls respectively, in bo...

    Text Solution

    |