Home
Class 12
MATHS
Find the vector and the cartesian equati...

Find the vector and the cartesian equations of the lines that passes through the origin and (5, -2, 3).

Text Solution

Verified by Experts

The correct Answer is:
`therefore x/5=(y)/(-2)=z/3`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise EXERCISE-11.3|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-11|23 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the vector and the cartesian equations of the line that passes through the points (3, - 2, – 5), (3, -2, 6).

Find the vector and cartesian equations of the planes : (a) that passes through the point (1, 0, -2) and the normal to the plane is hati+hatj-hatk . (b) that passes through the point (1,4, 6) and the normal vector to the plane is hati-2hatj+hatk .

Find the vector and cartesian equations of the plane which passes through the point (5, 2, - 4) and perpendicular to the line with direction ratios 2, 3, -1.

Find the vector and the Cartesian equations of the line through the point (5, 2, - 4) and which is parallel to the vector 3hati+2hatj-8hatk. vecr=(5+3lambda)hati+(2+2lambda)hatj+(-4-8lambda)hatk and certesian equations (x-5)/(3)=(y-2)/(2)=(z+4)/(-8)

The cartesian equation of the line passing through (4, 9, 8) and (3, - 2, 1) is ..

The cartesian equation of the line passing through (2,2,-3) and (1,3,5) is.......

Find the cartesian equation of the line which passes through the point (-2, 4, -5) and parallel to the line given by (x+3)/(3)=(y-4)/(5)=(z+8)/(6)

Find the vector equation for the line passing through the points (-1, 0, 2) and (3, 4, 6).

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-EXERCISE-11.2
  1. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that the line passing through the points (4, 7, 8) and (2, 3, 4) ...

    Text Solution

    |

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

    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 which passes through the point...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the angle between the following pairs of lines : (i) vecr=2ha...

    Text Solution

    |

  11. Find the angle between the following pair of lines : (i) (x-2)/(2)...

    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 perpe...

    Text Solution

    |

  14. Find the shortest distance between the lines vecr=(hati+2hatj+hatk...

    Text Solution

    |

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

    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 ar...

    Text Solution

    |