Home
Class 12
MATHS
Write the direction cosines of the norma...

Write the direction cosines of the normal to plane `3x+4y +12z = 52`

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(13), (4)/(13), (12)/(13)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbooks Solutions (Additional Exercise) |10 Videos

  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Chapter Practice (Long Answer Type Questions)|8 Videos

Similar Questions

Explore conceptually related problems

Write the direction cosines of the normal to the plane x-y+1=0 .

Write the direction cosines of the normal to the plane x-2y+2z-10=0

What are the direction consines of the normal to the plane 3x - 2y - 2z + 1 = 0?

Write the direction cosines of Z-axis.

What are the direction cosines of the normal to the plane X+y+1=0?

Write the direction cosines of a line parallel to Z-axis.

ARIHANT PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Chapter Practice
  1. Show that the lines (x-5)/(7) = (y+2)/(-5) = (z)/(1) and (x)/(1) = (y)...

    Text Solution

    |

  2. What is the angle between two planes 3x - 4y + 5z = 0 and 2x - y - 2z ...

    Text Solution

    |

  3. Write the direction cosines of the normal to plane 3x+4y +12z = 52

    Text Solution

    |

  4. Find the cartesian equation of the plane vec(r).[(s-2t) hat(i) + (3-t)...

    Text Solution

    |

  5. What is the cartesian equation of the line vec(r)=(3hat(i) - hat(j) + ...

    Text Solution

    |

  6. Write the vector equation ofthe line given by (x - 5)/3 = (y + 4)/7 = ...

    Text Solution

    |

  7. Cartesian equation of line AB is (2x-1)/(2) = (4-y)/(7) = (z+1)/(2). W...

    Text Solution

    |

  8. Find the equation of line passing through the point (2, 1, 3) having t...

    Text Solution

    |

  9. Find the equation of a line parallel to Y-axis and passing through the...

    Text Solution

    |

  10. Find the coordinates of the point, where the line passing through (5, ...

    Text Solution

    |

  11. Write the condition for the lines vec(r) = vec(a)(1) + lambda vec(b)(1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Find the vector and cartesian equation of the line passing through the...

    Text Solution

    |

  15. Find the vector equation of the plane determined by the points A(3,-1,...

    Text Solution

    |

  16. Find the coordinates of the point where the line through the points A(...

    Text Solution

    |

  17. Find the point of intersection of the line (x-2)/(1) = (y+2)/(3) = (z-...

    Text Solution

    |

  18. Find the vector and cartesian equations of line passing through the po...

    Text Solution

    |

  19. Find the foot of the perpendicular from (1,6, 3) on the line (x)/(1) =...

    Text Solution

    |

  20. Prove the following by vector method. Measure of the angle between two...

    Text Solution

    |