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`.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions ( MCQs)|32 Videos

  • SAMPLE QUESTION PAPER

    OMEGA PUBLICATION|Exercise QUESTIONS|78 Videos

  • VECTOR ALGEBRA

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |23 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines whose vector equations are : vec(r)_(1)=2hat(i)+3hat(j)+4hat(k)+lamda(2hat(i)-hat(j)+hat(k)) vec(r)_(2)=3hat(i)-2hat(j)-hat(k)+mu(3hat(i)+2hat(j)-4hat(k))

Find the cartesian equation of the plane vector equation is vec(r).(hat(i)+2hat(j)-3hat(k))=1

Find the shortest distance between the lines whose vector equations are : vec(r)=6hat(i)+2hat(j)+2hat(k)+lamda(hat(i)-2hat(j)+2hat(k)) and vec(r)=-4hat(i)-hat(k)+mu(3hat(i)-2hat(j)-4hat(k))

Find the shortest distance between the lines whose vector equations are : vec(r)=(-2hat(i)+3hat(j)+5hat(k))+lambda(7hat(i)-hat(k)) and vec(r)=4hat(i)+5hat(j)+6hat(k)+mu(2hat(i)+3hat(j)+hat(k))

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 planes vec(r)*(3hat(i)-4hat(j)+5hat(k))=0 and vec(r)*(2hat(i)-hat(j)-2hat(k))=0

Find the equation of the plane through the intersection of the planes vec(r)*(2hat(i)+hat(j)+3hat(k))=7 and vec(r)*(2hat(i)+3hat(j)+3hat(k))=9 and passing through the point (2,1,3).

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

OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Find the vector equation of plane that passes through the point (1,0,-...

    Text Solution

    |

  5. If a line has direction ratios -18,12,-4, then what are its direction ...

    Text Solution

    |

  6. Find the direction cosines of the sides of the triangle whose vertices...

    Text Solution

    |

  7. A line passes through the point with position vector 2hat(i)-hat(j)+4h...

    Text Solution

    |

  8. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

    Text Solution

    |

  9. Find the cartesian equation of the line which passes through the point...

    Text Solution

    |

  10. The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is ........

    Text Solution

    |

  11. Find the vector and the cartesian equations of the line that passes th...

    Text Solution

    |

  12. Find the angle between the pair of lines vec(r)=2hat(i)-5hat(j)+hat(...

    Text Solution

    |

  13. Find the angle between the pairs of lines vec(r)=3hat(i)+hat(j)-2hat...

    Text Solution

    |

  14. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

    Text Solution

    |

  15. Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) an...

    Text Solution

    |

  16. Find the angle between the lines (x)/(2)=(y)/(2)=(z)/(1) and (x-5)/(4)...

    Text Solution

    |

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

    Text Solution

    |

  18. The vector equation of two lines are vec(r)=hat(i)+2hat(j)+hat(k)+la...

    Text Solution

    |

  19. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  20. Find the shortest distance between the following two lines vec(r)=(1+2...

    Text Solution

    |