Home
Class 12
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the point (3, 4, -1) and parallel to the plane `vecr.(2hati-3hatj+5hatk)+2=0`

Text Solution

Verified by Experts

The correct Answer is:
`vecr.(2hati-3hatj+5hatk)+11=0`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-11|23 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 equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

Find the equation of the plane passing through (a, b, c) and parallel to the plane vecr.(hati+hatj+hatk)=2 .

Find the equation of the plane passing through (3,4,-1), which is parallel to the plane vec rdot (2 hat i-3 hat j+5 hat k) +7=0.

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3hati+2hatj-2hatk .

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vecr.(hati+2hatj-5hatk)+9=0

Find the equation of the plane passing through the points (1, 2, 3) and (0, -1, 0) and parallel to the line (x-1)/(2)=(y+2)/(3)=(z)/(-3)

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 and vecr.(hatj+2hatk)=0 and also passing through the point 2hati+hatj-hatk .

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to X- axis.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

    Text Solution

    |

  4. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

    Text Solution

    |

  5. Find the coordinates of the foot of perpendicular drawn from the point...

    Text Solution

    |

  6. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

    Text Solution

    |

  7. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

    Text Solution

    |

  8. Find the equation of the plane passing through the points (1, 2, 3) an...

    Text Solution

    |

  9. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  10. Find the equation of the plane passing through the point (3, 4, -1) an...

    Text Solution

    |

  11. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  12. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

    Text Solution

    |

  13. Find the vector equation of the plane containing the lines vecr=(hati+...

    Text Solution

    |

  14. Find the equation of the plane containing two parallel lines (x-4)/(1)...

    Text Solution

    |

  15. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

    Text Solution

    |

  16. Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...

    Text Solution

    |

  17. Find the foot of perpendicular from the point (0, 2, -2) to the plane ...

    Text Solution

    |

  18. Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(...

    Text Solution

    |

  19. Find the equation of perpendicular bisector of the plane of the line s...

    Text Solution

    |

  20. Find the direction cosines of the two lines which are connected by the...

    Text Solution

    |