Home
Class 12
MATHS
The direction Cosines of two lines at ri...

The direction Cosines of two lines at right angles are `l_(1),m_(1),n_(1)and l_(2),m_(2),n_(2)` Then the direction cosines of a line which is perpendicular to both these lines are

A

`l_(1) + l_(2).m_(1)+m_(2).n_(1) +n_(2)`

B

`l_(1)-l_(2).m_(1)-m_(2),n_(1)-n_(2)`

C

`l_(1)/l_(2), m_(1)/m_(2), n_(1)/n_(2)`

D

`m_(1)n_(2)-m_(2)n_(1), n_(1)l_(2)-n_(2)l_(1), l_(1)m_(2)-l_(2)m_(1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise PREVIOUS YEAR MHT-CET EXAM QUESTIONS|3 Videos

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,8|16 Videos

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

Similar Questions

Explore conceptually related problems

If the direction cosines of two lines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) , then find the direction cosine of a line perpendicular to these lines.

The direction cosines to two lines at right angles are (1,2,3) and (-2,1/2,1/3) then the direction cosine prependicular to both the given lines are

Two lines with direction cosines l_(1),m_(1),n_(1) and l_(2), m_(2), n_(2) are at right angle of

If l_(1),m_(1),n_(1) and l_(2),m_(2),n_(2) are the directional cosines of two vectors and theta is the angle between them, then their value of cos theta is

l = m = n = 1 are the direction Cosines of

The direction cosines of the lines bisecting the angle between the lines whose direction cosines are l_(1),m_(1),n_(1) and l_(2),m_(2),n_(2) and the angle between these lines is theta, are

The direction cosines of a line which is perpendicular to both the lines whose direction ratios are 1,-1,0 and 2,-1,1 are

MARVEL PUBLICATION-PLANE IN SPACE -PART B: MASTERING THE BEST ON LINE AND PLANE IN SPACE
  1. If the centroid of the tetrahedron O-ABC, where A-=(alpha,5,6), B-=(1,...

    Text Solution

    |

  2. The shortest distance between the lines x+a=2y=-12z and x=y+2a=6z-6a i...

    Text Solution

    |

  3. The direction Cosines of two lines at right angles are l(1),m(1),n(1)a...

    Text Solution

    |

  4. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  5. If h, m1, n1 and l2, m2, n2 are D.C.s of the two lines inclined to eac...

    Text Solution

    |

  6. Let vectors bara, barb, barc and bard be such that (baraxxbarb)xx(ba...

    Text Solution

    |

  7. A non zero vector veca is parallel to the kine of intersection of the ...

    Text Solution

    |

  8. Value of k such that the line (x-4)/1 = (y-2)/1 =(z-k)/2 lies in th...

    Text Solution

    |

  9. IF lines (x-1)/(2) =(y+1)/(3) =(z-1)/(4) and x-3 =(y-k) /(2) = z ...

    Text Solution

    |

  10. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

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

    Text Solution

    |

  12. A variable plane at distance of 1 unit from the origin cuts the coordi...

    Text Solution

    |

  13. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

  14. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

    Text Solution

    |

  15. A plane which passes through the point (3,2,0), and the line (x-3)/1 =...

    Text Solution

    |

  16. Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=...

    Text Solution

    |

  17. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

    Text Solution

    |

  18. Let the line (x-2)/3 = (y-1)/-5 =(z+2)/2 lie in the plane x+3y - alpha...

    Text Solution

    |

  19. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  20. The equation of the plane containing the straight line x/2=y/3=z/4 and...

    Text Solution

    |