Home
Class 12
MATHS
Check whether the line (x-1)/(4)=(y+2)/(...

Check whether the line `(x-1)/(4)=(y+2)/(5)=(z-7)/(6)` lines in the plane `3x+2y+z=6`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.1|14 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.2|10 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

Verify whether the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(12) lies in the plane 5x – y +z = 8.

For the line (x-6)/(6)=(y+4)/(4)=(z-4)/(8),

Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and the plane "3x+4y+z+5=0.

Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.

Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

Find the angle between the line (x+1)/2=y/3 =(z-3)/6 and the plane 10x+2y-11z=3.

The projection of the line (x+1)/(-1)=y/2=(z-1)/3 on the plane x-2y+z=6 is the line of intersection of this plane with the plane a. 2x+y+2=0 b. 3x+y-z=2 c. 2x-3y+8z=3 d. none of these

Show that the disease of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane (x-y+z=5) from the point (-1,-5,-10) is 13 units.

Show that the lines (x-1)/(4)=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(-2)=(5-z)/(6) are parallel.

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Answer the following questions)
  1. Check whether the line (x-1)/(4)=(y+2)/(5)=(z-7)/(6) lines in the plan...

    Text Solution

    |

  2. Prove that the sum of the squares of the squares of tha diagonals of a...

    Text Solution

    |

  3. Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vec...

    Text Solution

    |

  4. Find the vector and cartesian equation of the line through the point (...

    Text Solution

    |

  5. Find the vector and cartesian equation of the line joining the points ...

    Text Solution

    |

  6. Find the angle between the lines (x-1)/(2)=(y+1)/(3)=(z-4)/(6) and vec...

    Text Solution

    |

  7. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the vector and cartesian equation of a plane which is at a distan...

    Text Solution

    |

  10. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

  11. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the vector cartesian equation of the plane passing through the po...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the equation of the plane passing through the points (3, 4, 2), (...

    Text Solution

    |

  16. Find the equation of the plane passingthrough the intersection of the...

    Text Solution

    |

  17. Find the distance between the parallel planes vecr*(-hati-hatj+hatk)=3...

    Text Solution

    |

  18. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

    Text Solution

    |

  19. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

    Text Solution

    |

  20. If abs(veca+vecb)=abs(veca-vecb) prove that veca and vecb are perpendi...

    Text Solution

    |

  21. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

    Text Solution

    |