Home
Class 12
MATHS
Show that the line through the points : ...

Show that the line through the points : (4,7,8), (2,3,4) is parallel to the line through the points (-1,-2,1) and (1,2,5).

Text Solution

Verified by Experts

The correct Answer is:
`AB||CD`.
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions ( MCQs)|32 Videos

  • SAMPLE QUESTION PAPER

    OMEGA PUBLICATION|Exercise QUESTIONS|78 Videos

  • VECTOR ALGEBRA

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |23 Videos

Similar Questions

Explore conceptually related problems

Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points (– 1, – 2, 1), (1, 2, 5).

Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

Show that the line : through (0, 0) and (2, 3) is parallel to the line through (2, 2) and (4, 5) .

The slope of the line passing through the points (3,-2) and (-1,4) is:

Find the slope of the line through the points : (1, 2), (4, 2).

Find the slope of the line through the points (4,-6)(-2,-5)

Slope of the line passing through the points (3, -2) and (3, 4) is:

Line through the points (-2,6) and (4 ,8) is perpendicular to the line through the points (8,12) and (x, 24). Find the value x.

Find the slope of the line through the points : (3, -2), (3, 4).

OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. Find the direction cosines of the sides of the triangle whose vertices...

    Text Solution

    |

  2. A line passes through the point with position vector 2hat(i)-hat(j)+4h...

    Text Solution

    |

  3. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

    Text Solution

    |

  4. Find the cartesian equation of the line which passes through the point...

    Text Solution

    |

  5. The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is ........

    Text Solution

    |

  6. Find the vector and the cartesian equations of the line that passes th...

    Text Solution

    |

  7. Find the angle between the pair of lines vec(r)=2hat(i)-5hat(j)+hat(...

    Text Solution

    |

  8. Find the angle between the pairs of lines vec(r)=3hat(i)+hat(j)-2hat...

    Text Solution

    |

  9. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

    Text Solution

    |

  10. Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) an...

    Text Solution

    |

  11. Find the angle between the lines (x)/(2)=(y)/(2)=(z)/(1) and (x-5)/(4)...

    Text Solution

    |

  12. Find the angle between the line (x+1)/2 = y/3 = (z-3)/6 and the plane ...

    Text Solution

    |

  13. The vector equation of two lines are vec(r)=hat(i)+2hat(j)+hat(k)+la...

    Text Solution

    |

  14. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  15. Find the shortest distance between the following two lines vec(r)=(1+2...

    Text Solution

    |

  16. The vector equation of two lines are vec(r)=(1-t)hat(i)+(t-2)hat(j)...

    Text Solution

    |

  17. Find the equation of plane passing through (a,b,c) and parallel to the...

    Text Solution

    |

  18. In the following cases, find the co-ordinates of the foot of the perpe...

    Text Solution

    |

  19. Find the co-ordinates of the foot of perpendicular drawn from the orig...

    Text Solution

    |

  20. Find the length and the foot of the perpendicular from the point (7, 1...

    Text Solution

    |