Home
Class 11
MATHS
Find the shortest distance between the l...

Find the shortest distance between the line passing through the point (2,-1, 1) and parallel to the vector (-1, 1, 2) and the straight line passing through (0, 3, 1) and parallel to the vector (2, 4, -1).

Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|3 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 4.1 (VERY SHORT ANSWER QUESTIONS)|14 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the straight line passing through the point A = (6, 2, 2) and parallel to the vector (1, -2, 2) and the straight line passing through A^(1) = ( -4, 0, -1) and parallel to the vector (3, -2, -2) is

Find the vector equation of the straight line passing through the point (2, 3, -1) and parallel to the vector (1, -2, 3).

The vector equation to the line through the point (2, 3, 1) and parallel to the vector (4, -2, 3)

Equation of the plane passing through the point A (3, -2, -1) and parallel to the vectors (1, -2, 4) and (3, 2, -5) is

The cartesian equation of the line passing through the points bar(a)=(1, -1, 1) and parallel to the vector bar(b)=(2, 1, 3) is

The shortest distance between the lines through the points (2, 3, 1), (4, 5, 2) and parallel to the vectors (3, 4, 2), (4, 5, 3) respectively is

The cartesian equation of the line passing through the point (2, -1, 4) and parallel to the vector bar(i)+bar(j)-2bar(k) is

Find the equation of the line passing through the point 2bar(i) and parallel to the vector bar(j)+bar(k) .

Find the equation of the plane passing through the point (1,1,1) and parallel to the plane x+2y+3z-7=0

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. Find the shortest distance between the line passing through the point ...

    Text Solution

    |

  2. Which of the following are meaningful ?

    Text Solution

    |

  3. Which of the following is meaningless ?

    Text Solution

    |

  4. If bara.bari = 4 then (bara xx barj).(2barj - 3bark) =

    Text Solution

    |

  5. [baribarjbark]+[barjbarkbari]+[barkbaribarj]+[baribarkbarj]+[barjbarib...

    Text Solution

    |

  6. If [veca vecb vecc]=1 then (bara.(barbxxbarc))/((barcxxbara).barb)+(...

    Text Solution

    |

  7. If bara,barb,barc are non-coplanar vectors and (bara+2barb+barc).(bara...

    Text Solution

    |

  8. If bara, barb, barc are the sides of a triangle ABC then [barabarb bar...

    Text Solution

    |

  9. If the vectors abari+barj+bark,bari+bbarj+bark,barI+barj+cbarK are cop...

    Text Solution

    |

  10. If the vectors (a, b, c), (b, c, a) and (c, a, b) are linealy dependen...

    Text Solution

    |

  11. The volume of a parallelopiped whose edges are represented by -12bari+...

    Text Solution

    |

  12. The volume of the rectangular box whose coterminal edges along axes of...

    Text Solution

    |

  13. If barx.bara=barx.barb=barx.barc=0 for some non-zero vector barx and a...

    Text Solution

    |

  14. The volume of the tetrahedron having the edges barI+2barj-bark,bari+ba...

    Text Solution

    |

  15. If bara,barb are non-zero and non-collinear vectors then [bara barb ba...

    Text Solution

    |

  16. Which of the following statement is not true

    Text Solution

    |

  17. If bara is perpendicular to barbxxbarc, then which of the following is...

    Text Solution

    |

  18. barixx(barjxxbark)+barjxx(barkxxbari)+barkxx(barixxbarj)=

    Text Solution

    |

  19. barixx(barixxbara)+barjxx(barjxxbara)+barkxx(barkxxbara)=

    Text Solution

    |

  20. If barb, barc are like unit vectors and baraxx (barbxx barc) = bar0 th...

    Text Solution

    |

  21. If bara, barb are two unit perpendicular vectors then baraxx (baraxx b...

    Text Solution

    |