Home
Class 12
MATHS
Show that the lines (x-1)/(3)=(y-1)/(-...

Show that the lines ` (x-1)/(3)=(y-1)/(-1)=(z+1)/(0) ` and ` (x-4)/(2)=(y)/(0)=(z+1)/(3) ` intersect and hence find the point of intersection.

Text Solution

Verified by Experts

The correct Answer is:
` mu `
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.10(M.C.Q)|25 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

Similar Questions

Explore conceptually related problems

Show that the lines (x-1)/(3)=(y+1)/(2)=(z-1)/(5)and(x+2)/(4)=(y-1)/(3)=(z+1)/(-2) do not intersect.

Show that the lines (x-3)/(3)=(y-3)/(-1),z-1=0and(x-6)/(2)=(z-1)/(3),y-2=0 intersect. Also find the point of intersection.'

Show that the lines (x-3)/(1)=(y-5)/(-2)=(z-7)/(1) and (x-1)/(7)=(y-1)/(6)=(z-1)/(7) are skew lines and find the shortest distance between them.

If the two lines (x-1)/(2)=(y+1)/(3)=(z-1)/(4)and(x-3)/(1)=(y-m)/(2)=z intersect at a point, find the value of m.

The line (x-x_1)/0=(y-y_1)/1=(z-z_1)/2 is

Show that the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(3)and(x-1)/(-3)=(y-4)/(2)=(z-5)/(1) are coplanar. Also, find the plane containing these lines.

The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(5)=(z+2)/(2) are

Find the point of intersection of the lines (x-1)/(3)=(y-1)/(-1) = z+2’and (x-4)/(2)=y=(z+1)/(3) .

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

    Text Solution

    |

  2. Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...

    Text Solution

    |

  3. Show that the lines (x-1)/(3)=(y-1)/(-1)=(z+1)/(0) and (x-4)/(2)=...

    Text Solution

    |

  4. find the shortest distance between the skew lines. vecr=(veci-vecj)+...

    Text Solution

    |

  5. find the shortest distance between the skew lines. vecr=(2veci-vecj-...

    Text Solution

    |

  6. Find the vector and cartesian equations of a plane which is at a dista...

    Text Solution

    |

  7. The unit normal vector to the plane 2x - y + 2z = 5 are …………..

    Text Solution

    |

  8. Find the length of the perpendicular from the origin to the plane ve...

    Text Solution

    |

  9. The foot of the perpendicular drawn from the origin to a plane is 18 ,...

    Text Solution

    |

  10. Find the Cartesian equation of the plane through the point with positi...

    Text Solution

    |

  11. Find the vector and cartesian equations of the plane passing through t...

    Text Solution

    |

  12. Find the Vector and Cartesian equation of the plane containing the lin...

    Text Solution

    |

  13. Find the vector and cartesian equation of the plane passing through th...

    Text Solution

    |

  14. Find the vector and cartesian equations of the plane passing through t...

    Text Solution

    |

  15. Find the vector and cartesian equations of the plane passing through t...

    Text Solution

    |

  16. Find the vector and certesian equation of the plane through the points...

    Text Solution

    |

  17. Find the vector and cartesian equations of the plane containing the li...

    Text Solution

    |

  18. Derive the equation of the plane in the intercept form.

    Text Solution

    |

  19. Find the Cartesian form of the equation of the plane vec(r)=(s-2t)hat(...

    Text Solution

    |

  20. Show that the straigh lines vecr=(veci+vecj-veck)+lambda(3veci-vecj)...

    Text Solution

    |