Home
Class 12
MATHS
Measure of angle between the planes bar(...

Measure of angle between the planes `bar(r ).(3i+j-k)=1` and `barr.(i+4j-2k)=2` is

A

`cos^(-1)(9/sqrt(231))`

B

`cos^(-1)(4/sqrt(231))`

C

`cos^(-1)(11/sqrt(231))`

D

`sin^(-1)(4/sqrt(231))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise PREVIOUS YEAR MHT-CET EXAM QUESTIONS|3 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,8|16 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos
  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos
  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

Similar Questions

Explore conceptually related problems

Measure of angle between the planes barr.(2i -j - 2k)=3 and barr.(8i - j - 4k)=5 is

Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i+4j-2k)=2 is parallel to the vector

A vector of magnitude 3 , bisecting the angle between the vectors bar(a)=2i+j-k and, bar(b)=i-2j+k is-

The sine of the angle between the lines r=2i+2j-k+(i+j+k)t and the plane r.(3i-4j+5k)=q is

The angle between planes r*(2i-3j+4k)+11=0 and r.(3i-2j-3k)+27=0 is

The angle between the planes bar(r)*(2bar(i)-3bar(j)+4bar(k))+11=0 and bar(r).(3bar(i)-2bar(j)-3bar(k))+27=0 is

The angle between the planes bar(r)*(2bar(i)-3bar(j)+4bar(k))+11=0 and "bar(r)*(3bar(i)-2bar(j))=0. is

MARVEL PUBLICATION-PLANE IN SPACE -PART B: MASTERING THE BEST ON LINE AND PLANE IN SPACE
  1. Distance from the point (3,4,5) to the point where the line (x-3)/1 =(...

    Text Solution

    |

  2. The distance of the point (1,-2,3) from the plane x-y+z-5=0, measured ...

    Text Solution

    |

  3. Measure of angle between the planes bar(r ).(3i+j-k)=1 and barr.(i+4j-...

    Text Solution

    |

  4. If the planes barr.(2i + lambdaj - 3k)=0 and barr.(lambdai + 3j + k)=5...

    Text Solution

    |

  5. If the planes barr.(2i - lambdaj + k)=3 and barr.(4i + j - muk)=5 are ...

    Text Solution

    |

  6. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

    Text Solution

    |

  7. The angle between the lines x=1, y=2 and y=-1, z=0 is

    Text Solution

    |

  8. A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-...

    Text Solution

    |

  9. The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-...

    Text Solution

    |

  10. If the lines (x-2)/1=(y-3)/1)(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

    Text Solution

    |

  11. A line line makes the same angle theta with each of the x and z-axes....

    Text Solution

    |

  12. Equation of plane containing the two lines (x-1)/2 = (y+1)/-1 = z/3 ...

    Text Solution

    |

  13. Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) a...

    Text Solution

    |

  14. The plane passing through the point (-2,-2, 2) and containing the line...

    Text Solution

    |

  15. If the planes ax+by + cz=1 meets the co-ordinates axes in the points A...

    Text Solution

    |

  16. If l,m,n are the direction Cosines of a normal to a plane passing thro...

    Text Solution

    |

  17. If a plane meets coordinate axes in points A,B,C such that the centroi...

    Text Solution

    |

  18. Lines (x-1)/1 = (y-1)/2 = (z-3)/0 and (x-2)/0 = (y-3)/0 = (z-4)/1 are

    Text Solution

    |

  19. The line x=1, y=2, z=0 is

    Text Solution

    |

  20. A plane meets the co-ordinate axes in A,B,C, such that the centroid of...

    Text Solution

    |