Home
Class 12
MATHS
Using vectors show that the points A(-2,...

Using vectors show that the points `A(-2,3,5),B(7,0,-1)C(-3,-2,-5)` and `D(3,4,7)` are such that `A B` and `C D` intersect at the point `P(1,2,3)dot`

Text Solution

Verified by Experts

The correct Answer is:
(x,y,z)=(1,2,3).
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

Show that the points A(-1,4,-3), B(3,2,-5) C(- 3,8,-5) and D (-3,2,1) are coplanar

The points A (4,5,1), B (0,-1,-1), C(3,9,4) and D(-4,4,4) are

Show that the points A (-2, 3, 5), B(1, 2, 3) and C(7, 0, -1) are collinear.

Prove that the ponts A(1,2,3),B(3,4,7),C(-3 ,-2, -5) are collinear

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that the points A(1,3),B(2,6),C(5,7) and D(4,4) are the vertices of a rhombus .

Find x such that the four points A(3,2,1), B(4,x,5), C(4,2,-2) and D(6,5,-1) are coplanar

Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.

Show that the points A(1,-2,-8) , B(5,0,-2), C(11,3,7) are collinear.

Show that the points P(- 2 , 3, 5) , Q (1, 2, 3) and R(7, 0, -1) are collinear.

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

    |