Home
Class 12
MATHS
Find the angle between the lines (x+1)/(...

Find the angle between the lines `(x+1)/(2)=(y)/(3)=(z-3)/(6)` and the planes `3x+y+z=7`.

Text Solution

Verified by Experts

The correct Answer is:
`theta=sin^(-1)((8)/(21))`.
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 angle between the line : (x+1)/2=y/3=(z-3)/6 and the plane 10x+2y-11z=3 .

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

Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/-2 and the plane 3x+4y+z+5=0 .

Statement 1 : Let theta be the angle between the line (x-2)/(2)=(y-1)/(-3)= (z+2)/(-2) and the plane x+y-z=5 . Then theta= sin ^(-1)(1//sqrt(51)) . Statement 2 : The angle between a straight line and a plane is the complement of the angle between the line and the normal to the plane.

Find the angle between the given lines (x-1)/3=(3-y)/-1=(3z+1)/6 and plane 3x-5y+ 2z= 10.

Find the angle between the line x-1/3=3-y/-1=3z+1/6 and the plane 3x -5y + 2z = 10 .

Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-4)/(4)=(z-5)/(5)

If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane x+2y+3z=4 is cos^(-1)(sqrt((5)/(14))) , then lambda equals

Find the angle between the following lines (x-5)/(1)=(2y+6)/(-2)=(z-3)/(1) and (x-2)/(3)=(1+y)/(4)=(z-6)/(5)

OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) an...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the p...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The vector equation of two lines are vec(r)=(1-t)hat(i)+(t-2)hat(j)...

    Text Solution

    |

  8. Find the equation of plane passing through (a,b,c) and parallel to the...

    Text Solution

    |

  9. In the following cases, find the co-ordinates of the foot of the perpe...

    Text Solution

    |

  10. In the following case, find the coordinates of the foot of the perpend...

    Text Solution

    |

  11. Find the length and the foot of the perpendicular from the point P(7,1...

    Text Solution

    |

  12. Find the vector equation of the line passing through (1, 2, 3) and per...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the co-ordinates of the points where the line through the points ...

    Text Solution

    |

  15. Find the vector equation of the plane which is at a distance of 7 unit...

    Text Solution

    |

  16. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

    Text Solution

    |

  17. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  18. Find the equations of the plane that passes through three points : (1,...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the intercepts cut off by the plane 2x+y-z = 5

    Text Solution

    |