Home
Class 12
MATHS
The direction ratios of a normal to the ...

The direction ratios of a normal to the plane passing through (0,0,1),(0,1,2) and (1,2,3) are

A

0,1,-1

B

1,0,-1

C

0,0,-1

D

1,0,0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos
  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

The direction ratios of a normal to the plane thro' (1,0,0), (0, 1, 0), which makes an angle of with pi/4 the plane x + y = 3 are :

The direction cosines of the normal to the plane 2x-2y+z-1 =0 are

Find the coordinates of the centre of the circle passing through the point (0,0) , (-2,1) and (-3,2) . Also find the radius.

The direction cosines of the line passing through P(2,3,-1) and the origin are

Find the vector equation of the line passing through the point (-1, 0,2) and (3,4,6)

Find the vector equation of the line, passing through the points (-1,0,2) and (3,4,6)

A plane pi passes through the point (1,1,1). If b, c, a are the direction ratios of a normal to the plane where a, b, c(a lt b lt c) are the prime power factors of 2001 , then the equation of the plane pi is

find the direction ratios of the vector, joining the points P(2,3,0) and Q(-1,-2,-3) direction from P to Q.

The equation of the plane through the points (1,-1,0), (0,-2,1) and (2,0,-3) is

Equation of the plane passing through (1,1,1) and (1,-1,-1) and perpendicular to 2x-y+z+5=0 is

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If the plane 7x+11y+13z=3003 meets the axes A, B, C then the centroid ...

    Text Solution

    |

  2. A plane pi passes through the point (1,1,1). If b, c, a are the direc...

    Text Solution

    |

  3. The direction ratios of a normal to the plane passing through (0,0,1),...

    Text Solution

    |

  4. The angle between the lines whose direction cosines satisfy the equat...

    Text Solution

    |

  5. In the space the equation by+cz+d=0 represents a plane perpendicular t...

    Text Solution

    |

  6. If P=(0,1,0), Q=(0,0,1), then the projection of PQ on the plane x+y+z=...

    Text Solution

    |

  7. If the direction ratios of two lines are given by 3lm-4ln+mn=0 and l+2...

    Text Solution

    |

  8. Equation of the plane passing through (1,1,1) and (1,-1,-1) and perpen...

    Text Solution

    |

  9. A plane pi makes intercepts 3 and 4 respectively on z-axis and x-axis....

    Text Solution

    |

  10. XOZ plane divides the join of (2,3,1) and (6,7,1) in the ratio

    Text Solution

    |

  11. The point collinear with (1,-2,-3) and (2,0,0) among the following is

    Text Solution

    |

  12. The direction cosines of the line passing through P(2,3,-1) and the or...

    Text Solution

    |

  13. If OA is equally inclined to OX, OY and OZ and if A is sqrt3 units fro...

    Text Solution

    |

  14. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  15. The equation of the right bisector plane of the segment joining (2,3,...

    Text Solution

    |

  16. A line makes acute alpha, beta and gamma with the coordinate axes such...

    Text Solution

    |

  17. If the direction ratios of two lines are (5,-12,13) and (-3,4,5) then ...

    Text Solution

    |

  18. Verify that the points ( 0,7,10 ) , ( -1,6,6) and ( -4,9, 6) are the ...

    Text Solution

    |

  19. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  20. A line which makes angle 60^(o) with y -axis and z-axis, then the angl...

    Text Solution

    |