Home
Class 12
MATHS
Find the equation of the line passing th...

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines `(x-1)/1=(y-2)/2=(z-3)/3a n dx/(-3)=y/2=z/5`

Text Solution

Verified by Experts

The correct Answer is:
`vec(r)= (2 hat(i)+hat(j)+3 hat(k)) + lambda (2 hat(i)- 7 hat(j) + 4 hat(k))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic -2 (Long answer type questions-II)|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic - 3 (Very short answer type questions)|13 Videos

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic -2 (Short answer type questions-I)|6 Videos

  • SOLVED PAPER ( Topper Answers March - 2015 )

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos

  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 4 (Short Answer Type Questions - II|7 Videos

Similar Questions

Explore conceptually related problems

The equation of the line passing through the point (3,2) and perpendicular to the line y=x is

Equation of line passing through the point (1, 2) and perpendicular to the line y=3x-1 is

Equation of line passing through the point (1,2) and perpendicular to the line y = 3x - 1 is

Equation of the line passing through (1, 1,1) and perpendicular to 2x + 3y + z = 5 is:

Find the equation of the line passing through (4, 5) perpendicular to the line 3x+7y-2=0 .

Find the equation of the circle passing through the points (2,3) and (-1,1) and whose centre is on the line x-3y-11=0.

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+ 2y+3z-7=0 and 2x-3 y+4 z=0 is

OSWAAL PUBLICATION-THREE DIMENSIONAL GEOMETRY-Topic -2 (Short answer type questions-II)
  1. Find the shortest distance between the lines L(1) " and " L(2) ...

    Text Solution

    |

  2. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  3. Find the distance of the point (-1,-5,-10) from the point of intersect...

    Text Solution

    |

  4. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Als...

    Text Solution

    |

  5. Find the shortest distance between two lines whose vector equations ar...

    Text Solution

    |

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

    Text Solution

    |

  7. Show that the lines (5-x)/-4=(y-7)/4=(z+3)/-5 and (x-8)/7=(2y-8)/2=(z-...

    Text Solution

    |

  8. Show that the lines vec(r)= vec(i)+vec(j)-vec(k)+lambda(3 vec(i)- vec(...

    Text Solution

    |

  9. The equation of line passing through (3,-1,2) and perpendicular to the...

    Text Solution

    |

  10. Find the equation of the line passing through the point (2, 1, 3) and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Find the equation of the perpendicular drawn from the point (2,4,-1) t...

    Text Solution

    |

  14. Using vectors show that the points A(-2,3,5),B(7,0,-1)C(-3,-2,-5) and ...

    Text Solution

    |

  15. Show that the lines vec(r ) =(hat(i) -hat(j)) +lambda (2hat(i)+ ha...

    Text Solution

    |

  16. Find the Vector and Cartesian equations of the line passing through...

    Text Solution

    |

  17. Find the shortest distance between the following pair of lines : (...

    Text Solution

    |

  18. 2/ Find the perpendicular distance of the point (1, 0, 0) from the lin...

    Text Solution

    |

  19. Find the shortest distance between the following lines whose vector...

    Text Solution

    |

  20. Find the angle between the following pair of lines: (-x+2)/(-2)=(y-...

    Text Solution

    |