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

Find the vector equation of the following plane in non-parametric form: ` vec r=(lambda-2mu) hat i+(3-mu) hat j+(2lambda+mu) hat k`.

Text Solution

Verified by Experts

The correct Answer is:
`2x-5y-z+15=0`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 E|26 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 F|5 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 C|7 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • VECTORS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the following planes in non parametric form: -> r=(lambda-2mu) hat i+(3-mu) hat j+(2lambda+mu) hat k

Find the vector equation of the following planes in non parametric form: -> r=(2 hat i+2 hat j- hat k)+lambda( hat i+2 hat j+3 hat k)+mu(5 hat i-2 hat j+7 hat k)dot

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k) .

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the vector equation of the following planes in scalar product form ( vec rdot vec n=d): vec r=(2 hat i- hat k)+lambda hat i+mu( hat i-2 hat j- hat k)dot

Find the vector equation of the following planes in scalar product form ( vecr . vecn =d): r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu(-4 hat i-2 hat j+3 hat k)dot

Write the cartesian equation of the following line given in vector form : vec r=2 hat i+ hat j-4 hat k+lambda\ ( hat i- hat j- hat k)

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(lambda-1) hat i+(lambda+1) hat j-(1+lambda) hat k\ a n d\ vec r=(1-mu) hat i+(2mu-1) hat j+(mu+2) hat k .

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(8+3lambda) hat i-(9+16lambda) hat j+(10+7lambda) hat k and\ vec r=15 hat i+29 hat j+5 hat k+ mu(3 hat i+8 hat j-5 hat k)dot

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 D
  1. Find the vector and Cartesian equation of the plane that passes throug...

    Text Solution

    |

  2. Find the vector and cartesian equation of a plane which passes throug...

    Text Solution

    |

  3. Find the vector equation of the following plane in non-parametric fo...

    Text Solution

    |

  4. Convert the equation of the plane vecr = (hati-hatj)+lambda(-hati+hatj...

    Text Solution

    |

  5. Find the vector equation of the plane passing through the points P(2\ ...

    Text Solution

    |

  6. Find the equation of the plane passing through A(2, 2, -1) , B(3, 4, 2...

    Text Solution

    |

  7. Find the cartesian equation of plane passing through the points (1,1,...

    Text Solution

    |

  8. Find the angle between the folowing planes :- (i) vecr.(2hati-3hatj+...

    Text Solution

    |

  9. Find the value of 'lambda' if the following planes are perpendicular....

    Text Solution

    |

  10. Find the equation of the plane passes through the point (2,3,5) and pa...

    Text Solution

    |

  11. Find the equation of the plane passes through the point (1,-3,1) and p...

    Text Solution

    |

  12. Find the equation of the plane passes through the point (2,1,-2) and p...

    Text Solution

    |

  13. Equation of plane passing through the points (2, 2, 1) (9, 3, 6) and p...

    Text Solution

    |

  14. Find the equation of a plane passes through the point (0 ,0,0) and per...

    Text Solution

    |

  15. Find the equation of the plane passing through the point (-1, 3, 2) a...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the equation of a plane containing the line of intersection of th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |