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

B

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

C

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

D

`l_(1)+kl_(2),m_(1)+km_(2),n_(1)+kn_(2)`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos
  • PLANE IN SPACE

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

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 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-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. A line makes 45^(@) with OX and equal angles with OY and OZ .Then the ...

    Text Solution

    |

  2. What is the angle between the two lines whose direction numbers are (s...

    Text Solution

    |

  3. If the line of the vector bar (r ) = lambda I + 2j - k makes angles a...

    Text Solution

    |

  4. The number of lines which are equally inclined to the axes is :

    Text Solution

    |

  5. The projection of the line segment joining the points A(-1,0,3) and B(...

    Text Solution

    |

  6. Direction Cosines of a normal to the XOY - plane are

    Text Solution

    |

  7. If the direction cosines of a line are 1/c,1/c,1/c rthen (A) c.0 (B) 0...

    Text Solution

    |

  8. A mirror and a source of light are situated at the origin O and at a...

    Text Solution

    |

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

    Text Solution

    |

  10. The graph of the equation x^2+y^2=0 in the three dimensional space is ...

    Text Solution

    |

  11. If the line OP of length r makes an angle alpha with the X - axis , an...

    Text Solution

    |

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

    Text Solution

    |

  13. STATEMENT-1 : The direction ratios of a line joining the points (0, 0,...

    Text Solution

    |

  14. Co - ordinates of the foot of the perpendicular from the point (a,b,c)...

    Text Solution

    |

  15. In three dimensional space , the equation xy = 0 represents

    Text Solution

    |

  16. In space , the equation 3x-4y=0 represents

    Text Solution

    |

  17. A line lies in ZX plane and makes 60^(@) with x - axis ,then direction...

    Text Solution

    |

  18. The ratio in which XOZ plane divides A(2,-3,1) and B(-1,4,5) is :

    Text Solution

    |

  19. If the line vec(OR) makes angles theta(1),theta(2),theta(3) with the ...

    Text Solution

    |

  20. The direction ratios of a line which is perpendicular to the two vect...

    Text Solution

    |