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

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

Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING

    USHA PUBLICATION|Exercise EXERCISE|103 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line through the point (1, -2, 1) and parallel to the line x/2 = (y - 1)/-1 = (z + 2)/3 .

Find the equation of the plane .Passing through the point (2,3-1) and parallel to the plane 3x-4y+7z=0.

Find the equation of the line through the point (2, 3, 5) and parallel to the line (x - 3)/2 = (y + 1)/1 = (z + 7)/4 .

Find the equations of the plane passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 .

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

Obtain the equation of the line through the point (1, 2, 3) and parallel to the line x-y+2z-5=0 , 3x+y+z=-6

Find the equation of the line through the point (3, -1, 2) and parallel to the planes x+y+2z-4=0 and 2x-3y+z+3=0

USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |

  2. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  3. Find the equation of the plane through the points (1,0,-1),(3,2,-2)and...

    Text Solution

    |

  4. A variable plane passes through a fixed point (a,b,c) and meets the co...

    Text Solution

    |

  5. Find the equation plane passing through the point (2,3,1 )and perpendi...

    Text Solution

    |

  6. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  7. Prove the following by vector method. Median to the base of an isoscel...

    Text Solution

    |

  8. Prove the following by vector method. In a triangle AOB, mangleAOB = 9...

    Text Solution

    |

  9. show that the direction of cosines of a vector equally inclined to the...

    Text Solution

    |

  10. If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).

    Text Solution

    |

  11. If D is the mid point of side BC of a triangleABC, show by vector meth...

    Text Solution

    |

  12. Find the scalar components of a unit vector which is perpendicular to ...

    Text Solution

    |

  13. Decompose the vector 6hati-3hatj-6hatk into vectors which are parallel...

    Text Solution

    |

  14. Express 2hati-hatj+3hatk as the sum of a vector parallel, and a vector...

    Text Solution

    |

  15. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

    Text Solution

    |

  16. Find the angle between the following pair of the planes.2x+y+2z-4=0and...

    Text Solution

    |

  17. Show that the join of the points (6,-4,4) and (0,0,-4) intersects the ...

    Text Solution

    |

  18. Show that the points (2,3,-5) and (3,4,7) lie on the opposite side of ...

    Text Solution

    |

  19. Find dy/dx if y=log(sec x+tan x).

    Text Solution

    |

  20. Obtain the equation of the line through the point (1, 2, -3) and perpe...

    Text Solution

    |