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

Find the shortest distance between the following lines: ` vec r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k)` and ` vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the straight lines vec r=(3hat i+hat j+2hat k)+lambda(hat i+2hat j-hat k) and vec r=(2hat i-3hat j+hat k)+mu(2hat i-hat j+3hat k)

Find the shortest distance between the lines vec r=(hat i+2hat j+hat k)+lambda(hat i-hat j+hat k) and ,vec r,=2hat i-hat j-hat k+mu(2hat i+hat j+2hat k)

Find the shortest distance between the lines vec r=(hat i+2hat j+hat k)+lambda(hat i-hat j+hat k) and vec r=(2hat i-hat j-hat k)+mu(2hat i+hat j+2hat k)

Find the angle between the following pairs of lines: (i) quad vec r=2hat i-5hat j+hat k+lambda(3hat i+2hat j+6hat k) and vec r=3hat i+hat j-2hat k+lambda(hat i-hat j-2hat k)vec r=3hat i+hat j-26hat k+mu(3hat i-5hat j-2hat k)

Find the shortest distance between the lines vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

Find the shortest distance between lines vec r=(hat i+2hat j+hat k)+lambda(2hat i+hat j+2hat k) and vec r=2hat i-hat j-hat k+mu(2hat i+hat j+2hat k)

vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

The shortest distance between the line L_1=(hat i - hat j hat k) lambda (2 hat i - 14 hat j 5 hat k) and L_2=(hat j hat k) mu (-2 hat i - 4 hat 7 hat) then L_1 and L_2 is

Shortest distance between the lines: vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+u(2hat i+4hat j-5hat k)

Find the shortest distance between the following two lines: vec r=(1+lambda)hat i+(2-lambda)hat j+(lambda+1)hat kvec r=(2hat i-hat j-hat k)+mu(2hat i+hat j+2hat k)

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If y=A e^(m x)+B e^(n x), show that (d^2y)/(dx^2)-((m+n)dy)/(dx)+m n y...

    Text Solution

    |

  2. Find : int(x+3)/(sqrt(5-4x-2x^2))dx

    Text Solution

    |

  3. Find the shortest distance between the following lines: vec r=2 hat i...

    Text Solution

    |

  4. For what value of lambda the function defined by f(x)={lambda(x^2+2),i...

    Text Solution

    |

  5. If x=a e^t(sint+cost) and y=a e^t(sint-cost), prove that (dy)/(dx)=(x+...

    Text Solution

    |

  6. Evaluate : int0^(pi/4)log(1+tanx)dxdot

    Text Solution

    |

  7. Find : intx/((x-1)^2(x+2))dx

    Text Solution

    |

  8. A point on the hypotenuse of a right triangle is at distances a and b ...

    Text Solution

    |

  9. int[x+2]/[2x^2+6x+5].dx

    Text Solution

    |

  10. Write the sum of the order and degree of the differential equation 1+...

    Text Solution

    |

  11. Two schools A and B decided to award prizes to their students for thre...

    Text Solution

    |

  12. If A=(1 2 3-1)a n dB=(1 3-1 1), write the value of |A B| .

    Text Solution

    |

  13. Write the differential equation obtained by eliminating the arbitrary ...

    Text Solution

    |

  14. If vec a and vec b are unit Vectors, then what is the angle betwe...

    Text Solution

    |

  15. If a line makes angles alpha,beta,gamma with the positive direction of...

    Text Solution

    |

  16. Find a Vector in the direction of vec a= hat i-2 hat j that has magni...

    Text Solution

    |

  17. Let A = R × R and * be the binary operation on A defined by (a, b) ...

    Text Solution

    |

  18. Find the inverse of the matrix A=[1 3 3 1 4 3 1 3 4]

    Text Solution

    |

  19. If [2x3][1 2-3 0][x3]=O , find x

    Text Solution

    |

  20. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |