Home
Class 12
MATHS
What are the direction cosines of Z-axis...

What are the direction cosines of Z-axis?

A

`lt 1, 0, 0 gt`

B

`lt 0,1,0 gt`

C

`lt 0,0,1 gt`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (B. FILL IN THE BLANKS)|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (C. TRUE/FALSE QUESTIONS)|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (F) (LONG ANSWER TYPE QUESTIONS (II) )|13 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

Let a vector r make angles 60^(@), 30^(@) with X and Y -axis, respectively. What are the direction cosines of r ?

What are the direction cosines of the y-axis ?

What are the direction cosines of a line whose direction ratios are 3,4,12?

What are the direction cosines of a line which is equally inclined to the axes?

What are the direction cosines of the line represented by 3x+y+2z=7,x+2y+3z=5 ?

The projections of a directed line segment on the coordinate axes are 12,4,3 respectively. What are the direction cosines of the line segment

If the direction ratio of a line is 1,-2,2 Then what are the direction cosines of the line

What are the direction cosines of the normal to the plane 4x+12y+3z=65? Also find the lenth of perpendicular from the origin to the plane.

The direction ratios of a line are 2,6,-9 .What are its direction cosines ?

The sum of the direction cosines of Z-axis is

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -OBJECTIVE TYPE QUESTIONS (A. MULTIPLE CHOICE QUESTIONS)
  1. The relation between direction-cosines l, m and n of a line is :

    Text Solution

    |

  2. The direction cosines of x-axis are (A) 0,0,1 (B) 1,0,0 (C) 0,1,0 (D) ...

    Text Solution

    |

  3. What are the direction cosines of Z-axis?

    Text Solution

    |

  4. If the line vec(r) = (-2 hati + 3 hatj + 4 hatk ) + lambda ( - hatk ha...

    Text Solution

    |

  5. Distance between plane 3x + 4y - 20 = 0 and point (0,0,-7) is :

    Text Solution

    |

  6. If a line makes an angle of pi/4 with each of Y and Z-axes , then the ...

    Text Solution

    |

  7. If a line makes angles alpha,beta,gamma with the positive direction of...

    Text Solution

    |

  8. If a line makes angles (pi)/(2), (3pi)/(4) and (pi)/(4) with x,y,z axi...

    Text Solution

    |

  9. If direction-cosines of two lines are proportional to 4,3,2 and 1, -2,...

    Text Solution

    |

  10. The direction consines of a line equally inclined with the co-ordinate...

    Text Solution

    |

  11. The line (x-1)/2=(y-2)/4=(z-3)/4 meets the plane 2x+3y-z=14 in the poi...

    Text Solution

    |

  12. Direction-ratios of line given by : (x -1)/(3) = (2y + 6)/(10) = (1...

    Text Solution

    |

  13. Find the distance of the plane 3x\ \ 4y+12 z=3 from the origin.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The direction-cosines of te vector vec(a) = hati - hatj - 2 hatk are ...

    Text Solution

    |

  17. The angle between the vector vec(r) = 4 hati + 8 hatj + hatk makes wit...

    Text Solution

    |

  18. The length of perpendicular from the origin to the plane : vec(r). (...

    Text Solution

    |

  19. The angle between the lines whose direction-ratios are : lt 2, 1 , ...

    Text Solution

    |

  20. Distance between the point (0,1,7) and the plane 3x + 4y + 1 = 0 is :

    Text Solution

    |