Home
Class 12
MATHS
The angle between the lines (x+1)/1 = (y...

The angle between the lines (x+1)/1 = (y-3)/2 = (z+2)/3 and x/3 = (y-1)/(-2) = z/1 is

A

`(sin^(-1))1/7`

B

`cos^(-1)(2/7)`

C

`(cos^(-1))1/7`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

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

The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sqrt3 -1) = (y-1)/(sqrt3 -1) = (z-1)/4 is

The shortest distance between the lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-4)/4 = (z-5)/5 is

The angle between two lines (x+1)/2 =(y+3)/2 =(z-4)/(-1) and (x-4)/1 =(y+4)/2 =(z+1)/2 is :

A line from the origin meets the lines (x-2)/1 = (y-1)/(-2) = (z+1)/1 and (x-8/3)/2 = (y+3)/(-1) = (z-1)/1 at P and Q respectively. If length PQ = d then d^(2) is equal to

The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plane 3x-4y+z = 3 is

The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

If the distance between the plane Ax+2y+z=d and the plane containing the lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 is sqrt6 , then |d| is equal to

The shortest distance between the lines : (x-3)/3 =(y-8)/(-1) =(z-3)/1 and (x+3)/(-3) = (y+7)/2=(z-6)/4 is :

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

    Text Solution

    |

  2. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

    Text Solution

    |

  3. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

    Text Solution

    |

  4. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |

  5. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

    Text Solution

    |

  6. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

    Text Solution

    |

  7. If the direction cosines of a line are 1/c, 1/c, 1/c then,

    Text Solution

    |

  8. The equation of the right bisector plane of the segment joining (2,3,...

    Text Solution

    |

  9. The angle between a line with direction ratio proportional to 2,2,1 an...

    Text Solution

    |

  10. Equation of the plane through P(1,2,3) and parallel to the plane x+2 y...

    Text Solution

    |

  11. Equation of the plane passing through the mid point of the line segmen...

    Text Solution

    |

  12. If M denotes the midpoint of the line segment joining A(4 i+5j-10k) an...

    Text Solution

    |

  13. The angle between the lines (x+1)/1 = (y-3)/2 = (z+2)/3 and x/3 = (y-1...

    Text Solution

    |

  14. A non-zero vector vec a is parallel to the line of intersection of the...

    Text Solution

    |

  15. The projection of the line joining the points (3,4,5) and (4,6,3) on t...

    Text Solution

    |

  16. The projection of a line segment on the coordinate axes are 2,3,6. The...

    Text Solution

    |

  17. The equation of the plane through the intersection of the planes x+y+z...

    Text Solution

    |

  18. The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z...

    Text Solution

    |

  19. If the position vectors of the points A and B are 3i+j+2k and i-2 j-4k...

    Text Solution

    |

  20. Equation of the plane passing through the point (1,1,1) and perpendicu...

    Text Solution

    |