Home
Class 12
MATHS
Find the angle between the following pla...

Find the angle between the following planes
`vec(r)*(3hat(i)-4hat(j)+5hat(k))=0` and `vec(r)*(2hat(i)-hat(j)-2hat(k))=0`

Text Solution

Verified by Experts

The correct Answer is:
`pi/2`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VII) Short Answer Type Questions |13 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VIII) Long Answer Type Questions |24 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION V) Short Answer Type Questions |10 Videos
  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos
  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the following planes vec(r)*(hat(i)+hat(j)-2hat(k))=3 and vec(r)*(2hat(i)-2hat(j)+hat(k))=2

Find the angle between the following line and plane respectively vec(r)=(hat(i)-hat(j)+hat(k))+lamda(2hat(i)-hat(j)+3hat(k)),vec(r)*(2hat(i)-hat(j)+hat(k))=4

Find the angle between the following lines vec(r)=3hat(i)+hat(j)-2hat(k)+lamda(hat(i)-hat(j)-2hat(k)) and r=2vec(i)-vec(j)-6vec(k)+mu(3vec(i)-5vec(j)-4vec(k))

Find the shortest distance between the following lines vec(r)=hat(i)+hat(j)+lamda(hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)+hat(j)-hat(k)+mu(3hat(i)-4hat(j)+hat(k))

Find the angle between the following line and plane respectively vec(v)=2hat(i)-hat(j)+3hat(k)+lamda(3hat(i)-hat(j)+2hat(k)),vec(r)*(3hat(i)+4hat(j)+hat(k))+5=0

Find the shortest distance between the following lines vec(r)=hat(i)+hat(j)+lamda(hat(i)-hat(k)) and vec(r)=2hat(i)-hat(j)+mu(hat(i)+hat(j)+hat(k))

Find the shortest distance between the following lines vec(r)=hat(i)-hat(j)-hat(k)+lamda(hat(i)+hat(j)-hat(k)) and vec(r)=3hat(i)-hat(j)-2hat(k)+mu(-hat(i)+2hat(j)+hat(k))

Find the vector equation of the plane through the intersection of the planes vec(r)*(hat(i)+hat(j)+hat(k))=6 and vec(r)*(2hat(i)+3hat(j)+4hat(k))=-5 and the point (1,1,1).

Find the shortest distance between the following lines vec(r)=-hat(i)+2hat(j)-hat(k)+lamda(hat(i)+hat(j)-hat(k)) and vec(r)=hat(i)-hat(j)+2hat(k)+mu(-hat(i)+hat(j)+hat(k)) .

Find the angle between the line vec(r)=2hat(i)-hat(j)+2hat(k)=2hat(i)-hat(j)+2hat(k) the plane vec(r)*(2hat(i)-hat(j)+hat(k))

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VI) Short Answer Type Questions
  1. The length of the perpendicular drawn from the origin to 2x-3y+6z+21=0

    Text Solution

    |

  2. Find the intercepts cut off by the plane x+2y-2z=9 with the axes.

    Text Solution

    |

  3. Find the vector and cartesian equation of the plane passing through th...

    Text Solution

    |

  4. Find the equation of the plane passing through origin and parallel to ...

    Text Solution

    |

  5. Find the equation of plane passing through the point (1,4,-2) and para...

    Text Solution

    |

  6. Find the angle between the following planes 3x-6y-2z=7 and 2x+y-2z=5

    Text Solution

    |

  7. Find the angle between the following planes 2x-y-z=6 and x+y+2z=7

    Text Solution

    |

  8. Find the angle between the following planes vec(r)*(hat(i)+hat(j)-2h...

    Text Solution

    |

  9. Find the angle between the following planes vec(r)*(3hat(i)-4hat(j)+...

    Text Solution

    |

  10. Find the angle between the following pair of lines

    Text Solution

    |

  11. Find the equation of plane passing through the intersection of the pla...

    Text Solution

    |

  12. Find the vector equation of the plane through the intersection of the ...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  15. Find the equation of the through to the line of intersection of the pl...

    Text Solution

    |

  16. Find the equations of the planes passing through the following points ...

    Text Solution

    |

  17. Find the equations of the planes passing through the following points ...

    Text Solution

    |

  18. Find the equations of the planes passing through the following points ...

    Text Solution

    |

  19. Find the equations of the planes passing through the following points ...

    Text Solution

    |

  20. Show that the points (-6,3,2),(3,-2,4),(5,7,3) and (-13,17,-1) are cop...

    Text Solution

    |