Home
Class 12
MATHS
Find the shortest distance between the l...

Find the shortest distance between the lines `vecr=hati+2hatj+3hatk+lambda(hati-3hatj+2hatk)` and `vecr=4hati+5hatj+6hatk+lambda(2hati+3hatj+hatk)`

Promotional Banner

Topper's Solved these Questions

  • Appilications of Derivative

    JMD PUBLICATION|Exercise Exercise|37 Videos

Similar Questions

Explore conceptually related problems

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

Find the shortest distance (S.D.) between the lines vecr=3hati+5hatj+7hatk+lamda(hati-2hatj+hatk) and vecr=-hati-hatj-hatk+lamda(7hati-6hatj+hatk)

find the shortest distance between the lines vecr=6hati-hatj+3hatk+lambda(hati+3hatj+2hatk) and hatr=9hati+hatj-4hatk+mu(hati-2hatj+hatk)

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

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

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

Find the shrotest distance between the lines vecr=hati-7hatj-2hatk+lamda(hati+3hatj+2hatk) and vecr=3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

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

Find the shortest distance between the lines vecr_1=hati+2hatj-3hatk+lambda(3hati-4hatj-hatk) vecr_2=2hati-hatj+hatk+mu(hati+hatj+5hatk)

JMD PUBLICATION- A Gift paper from the publishers-Example
  1. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

    Text Solution

    |

  2. If a*b=a^b then (2*1)*2=

    Text Solution

    |

  3. The value of sin(cot^-1x) is equal to

    Text Solution

    |

  4. If A is matrix of order x*2 and B is of 2*y and (AB)' is of 4*3 then v...

    Text Solution

    |

  5. If A and B are square matrices of order 3 such that absA = -1, absB = ...

    Text Solution

    |

  6. I.F. Of the differential equation dy/dx+2y=e^(2x) is :

    Text Solution

    |

  7. If f(x)= {(mx+1,,x,le,5),(3x-5,,x,>,5):} is continuous, then the value...

    Text Solution

    |

  8. d/dx(e^(2sin^-1x)) =

    Text Solution

    |

  9. The value of int(cosec^2x)/sec^2xdx is

    Text Solution

    |

  10. intdx/(9+x^2) =

    Text Solution

    |

  11. The number of arbitrary constants in the general solution of a differe...

    Text Solution

    |

  12. Find the area of the parallelogram whose diagonals are a = 3 hat i + h...

    Text Solution

    |

  13. Find |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

    Text Solution

    |

  14. The length of the perpendicular drawn from the origin to 2x-3y+6z+21=0

    Text Solution

    |

  15. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

    Text Solution

    |

  16. The point does not lie in half plane x + 2y le 10 is

    Text Solution

    |

  17. If a four digit number is formed by using the digits 1,2,3 and 5 with ...

    Text Solution

    |

  18. If [[e^x,e^y],[e^y,e^x]] = [[1,1],[1,1]] then (x,y) =

    Text Solution

    |

  19. If A = [[2x,5],[6,3]] is singular then x^2 =

    Text Solution

    |

  20. d/dx{tan^-1((x+a)/(1-ax))} =

    Text Solution

    |

  21. Slope of normal to the line 2x-3y+4=0 is

    Text Solution

    |