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

Find the equation of the plane passing through the line x = y = z and the point (3,2,1).

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 to the plane passing through the line x=y=z and the point (-1,3,4).

Find the equation of the plane passing through the line of intersection of the planes 2x+3y-z+1= 0 and x+y-2z+3= 0 , which is perpendicular to 3x-y-2z-4=0 .

Find the equation of the plane passing through the line (x-8)/3=(y+19)/-16=(z-10)/7 and the point (1,2,-4) .

Find the equation of the plane passing through the line of intersection of the planes. x + 3y + 6 = 0 , 3x - y - 4z = 0 and the point (1,1,1) .

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 points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x - 2y + 4z = 10.

USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. A variable plane passes through a fixed point (a,b,c) and meets the co...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the shortest distance between the lines frac[x][2]=frac[y][-3]=fr...

    Text Solution

    |

  19. Find the equation of the plane passing through the line frac[x+1][-3]=...

    Text Solution

    |

  20. Find the equation of the plane containing the line frac[x+3][3]=frac[y...

    Text Solution

    |