Home
Class 12
MATHS
Find the angle between the planes whose ...

Find the angle between the planes whose vector equations are
`vec(r)*(2hat(i)+2hat(j)-3hat(k))=5 " and " vec(r)*(3hat(i)-3hat(j)+5hat(k))=3`
Note : Angle between two planes is the angle between `vec(n_(1)) " and " vec(n_(2))`

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)(15/sqrt(731))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|11 Videos

  • THREE DIMENSIONAL GEOMETRY

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTIONS WITH ANSWERS|15 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY 2015

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • TRIANGLES

    SUBHASH PUBLICATION|Exercise Exercise 5.7|1 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the planes whose vector equation are r.(2hat(i)+2hat(j)-3hat(k))=5, r.(3hat(i)-3hat(j)+5hat(k))=3 .

Find the angle between the following pairs of lines : vec(r)=3hat(i)+2hat(j)-4hat(k)+lambda(hat(i)+2hat(j)+2hat(k)) " & " vec(r)=5hat(i)-2hat(j)+mu(3hat(i)+2hat(j)+6hat(k)) Note : Angle between two lines is the angle between vec(b_(1)) " and " vec(b_(2))

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

Find the angle between the pair of lines vec(r)=3hat(i)+5hat(j)-hat(k)+lambda(hat(i)+hat(j)+hat(k))" and "vec(r)=7hat(i)+4hat(k)+mu(2hat(i)+2hat(j)+2hat(k))

Write a unit vector in the direction of the sum of vectors vec(a) = 2hat(i) + 2hat(j) - 5hat(k) and vec(b) = 2hat(i) + hat(j) - 7hat(k) .

SUBHASH PUBLICATION-THREE DIMENSIONAL GEOMETRY-THREE MARKS QUESTIONS WITH ANSWERS
  1. Find the shortest distance between the lines. r=(hat(i)+2hat(j)+hat(...

    Text Solution

    |

  2. Find the shortest distance between the lines. (x+1)/7=(y+1)/(-6)=(z+...

    Text Solution

    |

  3. Find the angle between the following pairs of lines : vec(r)=3hat(i)...

    Text Solution

    |

  4. Find the angle between the following pairs of lines : r=2hat(i)-5hat...

    Text Solution

    |

  5. Find the angle between the following pairs of lines : r=3hat(i)+hat(...

    Text Solution

    |

  6. Find the angle between the following pairs of lines : (x-2)/2=(y-1)...

    Text Solution

    |

  7. Find the angle between the following pairs of lines : x/2=y/2=z/1 " ...

    Text Solution

    |

  8. Find the distance between the parallel lines vec(r)=hat(i)+2hat(j)-4ha...

    Text Solution

    |

  9. Find the angle between the planes whose vector equations are vec(r)*...

    Text Solution

    |

  10. Find the angle between the planes whose vector equations are 3x-6y+2...

    Text Solution

    |

  11. Find the angle between the line (x+1)/2=y/3=(z-3)/6 and the plane 10x+...

    Text Solution

    |

  12. In the following cases, find the coordinates of the foot of the perpen...

    Text Solution

    |

  13. In the following cases, find the coordinates of the foot of the perpen...

    Text Solution

    |

  14. In the following cases, find the coordinates of the foot of the perpen...

    Text Solution

    |

  15. In the following cases, find the coordinates of the foot of the perpen...

    Text Solution

    |

  16. Find the vector and Cartesian equations of the planes. That passes t...

    Text Solution

    |

  17. Find the vector and Cartesian equations of the planes. That passes t...

    Text Solution

    |

  18. Find the equation of the planes that passes through the sets of three ...

    Text Solution

    |

  19. Find the equation of the planes that passes through the sets of three ...

    Text Solution

    |