Home
Class 12
MATHS
Find the vector equation of the followin...

Find the vector equation of the following planes in cartesian form :
`" "vecr=hati-hatj+lamda(hati+hatj+hatk)+mu(hati-2hatj+3hatk)`.

Text Solution

Verified by Experts

The correct Answer is:
`vec(r). (5 hati - 2 hatj - 3 hatk) = 7 `.
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (E) (LONG ANSWER TYPE QUESTIONS (II) )|17 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (F) (LONG ANSWER TYPE QUESTIONS (I) )|21 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (E) (SHORT ANSWER TYPE QUESTIONS )|23 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the following plane in product form vecr = ( hati-hatk)+lambda(hati+2hatj)+mu(hati+3hatj-hatk) .

Find the vector equation of the plane in which the lines vecr=hati+hatj+lambda(hati+2hatj-hatk) and vecr=(hati+hatj)+mu(-hati+hatj-2hatk) lie.

Find the Cartesian equations of the following planes whose vector equations are: vecr.(2hati-7hatj+4hatk)+=0

The vector equation of the plane containing he line vecr=(-2hati-3hatj+4hatk)+lamda(3hati-2hatj-hatk) and the point hati+2hatj+3hatk is

Find the angle between each of the following pair of line: vecr=5hati-7hatj+lamda(-hati+4hatj+2hatk) vecr=-2hati+hatk+mu(3hati+3hatk)

Determine whether the following pair of lines intersect or not. i. vecr=hati-hatj+lamda(2hati+hatk), vecr=2hati-hatj+mu(hati+hatj-hatk)

Find the Cartesian equations of the following planes whose vector equations are: vecr.(3hati+3hatj-4hatk)=0

Find the Cartesian equations of the following planes whose vector equations are: vecr.(hati+hatj-hatk)=2

which of the following point lies on plane contaning lines vecr=hati+lambda(hati+hatj+hatk) and vecr = -hatj+mu(-hati-2hatj+hatk)

Determine whether the following pair of lines intersect: vecr=hati-hatj+lamda(2hati+hatk) and vecr=2hati-hatj+mu(hati+hatj-hatk)

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXERCISE 11 (E) (LONG ANSWER TYPE QUESTIONS (I) )
  1. (A) Find the equation of the plane through the intersection of the pla...

    Text Solution

    |

  2. Find the vector equation of the following planes in cartesian form : ...

    Text Solution

    |

  3. Find the equations of the plane that passes through three points (1,1,...

    Text Solution

    |

  4. Find the equations of the faces of the tetrahedron whose vertices are ...

    Text Solution

    |

  5. (i) Find the distance of the point P (6,5,9) from the plane determined...

    Text Solution

    |

  6. (i) Find the equation of the plane through the points (2,-3,1) and (5,...

    Text Solution

    |

  7. Find the Cartesian equation of the plane passing through the points...

    Text Solution

    |

  8. (a) show that the following four points are coplanar : (i) (4,5,1), ...

    Text Solution

    |

  9. The foot of the perpendicular drawn from the origin to a plane is (2, ...

    Text Solution

    |

  10. (I) Find the foot and length of the perpendicular from the point (3,4,...

    Text Solution

    |

  11. find the coordinates of point where the line through (3,-4,-5) and (2,...

    Text Solution

    |

  12. If x co-ordinate of a point on the line joining points (2,2,1) and (5,...

    Text Solution

    |

  13. (i) Find the equation of the plane passing through the intersection of...

    Text Solution

    |

  14. (i) Find the vector equation of the plane through the intersection of ...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the equation of a plane through the intersection of the planes : ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. (i) Find the equation of the plane passing through (1,-1,2) and perpen...

    Text Solution

    |