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)`,`(1, 2, 5)`.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

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).

Find the equation of the line through the points (-1, -2, 1) and (1, 2, 5).

(i)Find the slope of the line through the points (1,-2)and (4,2).

Find the slope of the line through the points (5,-1) and (6,4).

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, -1), (4, 3, -1)

Find the equation of the line passing through the point (-3,5) and perpendicular to the line through the points (2,5) and (-3,6).

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 of x.

Prove that the points '(1,3),(2,5)' '(3,7)' are on the same line.

Find the slope of the lines passing through the points (4,-5) and (2,1)

Find the slope of the line passing through the points (3,-2) and (-1,4).

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

    Text Solution

    |

  2. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of the line which passes through the point (1,2,3) and pa...

    Text Solution

    |

  5. Find the equation of the line in vector and in cartesian form that pas...

    Text Solution

    |

  6. Find the Cartesian equation of the line with passes through the point ...

    Text Solution

    |

  7. The Cartesian equations of a line are (x-5)/3=(y+4)/7=(z-6)/2dot Find ...

    Text Solution

    |

  8. Find the Cartesian equation of the line passing through origin and (5,...

    Text Solution

    |

  9. Find the vector and the cartesian equations of the lines that passes t...

    Text Solution

    |

  10. Find the angle between the following pairs of lines: i) vecr=2 hati-5...

    Text Solution

    |

  11. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

    Text Solution

    |

  12. Find the values of p so that the lines (1-x)/3 = (7y-14)/(2p) = (z-3)/...

    Text Solution

    |

  13. Show that the lines (x-5)/7=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpend...

    Text Solution

    |

  14. Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j...

    Text Solution

    |

  15. Find the shortest distance between the lines: (x+1)/7=(y+1)/(-6)=(z+1)...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the shortest distance between the lines whose vector equations a...

    Text Solution

    |

  18. Find the vector equation of the plane which is at a distance of 6/(sqr...

    Text Solution

    |

  19. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  20. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin.

    Text Solution

    |