Home
Class 12
MATHS
Find the vector equation of the plane th...

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28F|18 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28G|20 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28B|30 Videos

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos

  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

The vector equation of the plane through the point 2hati-hatj-4hatk and parallel to the plane vecr.(4hati-12hatj-3hatk)-7=0 , is

(i) Find the equations of the plane passing through (a,b,c) and parallel to the plane vec(r) . (hati + hatj + hatk) = 2 . (ii) Find the vector equation of the plane through the point hati + hatj + hatk and parallel to the plane vec(r). (2 hati - hatj + 2 hatk) = 5 .

Find the equation of the plane through the point (3,4,-1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+7=0

Find the vector equation of the plane passing through the point (3hati+4hatj+2hatk) and parallel to the vectors (hati+2hatj+3hatk) and (hati-hatj+hatk) .

The equation of plane passing through the point hati+hatj+hatk and paralel to the plane vecr.(2hati-hatj+2hatk)=5 is

Find the vector equation to the plane through the point -hati+3hatj+2hatk perpendicular to each of the planes vecr.(hati+2hatj+2hatk)=25 and vecr.(3hati+3hatj+2hatk)=8.

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

Find the vector equation of the plane passing through the point hati + hatj -2hatk and hati + 2hatj + hatk, 2hati - hatj + hatk.

Find the vector and Cartesian equations of the plane passing through the point (1,2,-4) and parallel to the lines vecr=(hati+2hatj+hatk)-lambda(2hati+3hatj+6hatk) and vecr=(hati-3hatj+5hatk)+mu(hati+hatj-hatk) .

Find the vector and Cartesian quations of the plane passing through the point (3,-1,2) and parallel to the lines vecr=(-hatj+3hatk)+lambda(2hati-5hatj-hatk) and vecr.(hati-3hatj+hatk)+mu(-5hati+4hatj) .

RS AGGARWAL-THE PLANE-Exercise 28C
  1. Find the equation of the plane mid-parallel to the planes 2x-3y+6z+21=...

    Text Solution

    |

  2. Show that the planes 2x-y+6z=5 and 5x-2.5y+15z=12 are parallel.

    Text Solution

    |

  3. Find the vector equation of the plane through the point (3hati+4hatj-h...

    Text Solution

    |

  4. Find the equation of the plane passing through (a,b,c) and paralle tot...

    Text Solution

    |

  5. Find the vector equation of a plane which is parallel to the plane vec...

    Text Solution

    |

  6. Find the equation of the plane through the point (1,4,-2) and parallel...

    Text Solution

    |

  7. Find the equation of the plane passing through the origin and parallel...

    Text Solution

    |

  8. Find the equation of the plane passing through the point (-1,0,7) and ...

    Text Solution

    |

  9. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

    Text Solution

    |

  10. Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0.

    Text Solution

    |

  11. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  12. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  13. Find the equation of the plane passing through the intersection of ...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

  16. Find the equation of the plane passing through the lineof intersection...

    Text Solution

    |

  17. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  18. Find the vector equation to the plane through the point (2,1,-1) pass...

    Text Solution

    |

  19. Find the vector equation of the plane passing through the point (1,1,1...

    Text Solution

    |

  20. Find the equation of a plane passing through the intersection of the p...

    Text Solution

    |