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

What are the direction cosines of Z-axis?

Text Solution

Verified by Experts

We know z axis makes an angle `90 degree` with the x axis and y axis and makes an angle `0 degree` with z axis itself.

So the dcs of z axis are `(cos90o,cos90o,cos0o)=(0,0,1)`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    RD SHARMA|Exercise Solved Examples And Exercises|808 Videos
  • FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|393 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

RD SHARMA-DIRECTION COSINES AND DIRECTION RATIOS-Solved Examples And Exercises
  1. Find the direction cosines of the lines, connected by the relations...

    Text Solution

    |

  2. Find the angle between the lines whose direction cosine are given by...

    Text Solution

    |

  3. Find the direction cosines of x, y and z-axis.

    Text Solution

    |

  4. Find the direction cosines of x, y and z-axis.

    Text Solution

    |

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

    Text Solution

    |

  6. Write the ratio in which YZ plane divides the segment joining" P"(-2...

    Text Solution

    |

  7. A line makes an angle of 60^0 with each of X-axis and Y-axis. Find ...

    Text Solution

    |

  8. If a line makes angle "alpha","beta\ and\ gamma" with the coordinat...

    Text Solution

    |

  9. Write the angle between the lines whose direction ratios are propor...

    Text Solution

    |

  10. Write the distance of the point  from  plane.

    Text Solution

    |

  11. Find the distance of the point (2, 3, 4) from the axis.

    Text Solution

    |

  12. If a line has direction ratios proportional to 2, -1, -2, then what...

    Text Solution

    |

  13. Write the direction cosines of a line parallel to z-axis.

    Text Solution

    |

  14. If a unit vector "a" makes an angle "pi"/3 with hat"i"," ""pi"/4 wi...

    Text Solution

    |

  15. For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. ...

    Text Solution

    |

  16. If the x-coordinate of a point P on the join of Q(22,1)a n dR(5,1,-...

    Text Solution

    |

  17. The distance of the point P(a ,\ b ,\ c) from the x-axis is a. sqr...

    Text Solution

    |

  18. If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then fin...

    Text Solution

    |

  19. Show that the angle between two diagonals of a cube is cos^(-1)sqrt(1/...

    Text Solution

    |

  20. A line makes angles alpha,beta,gammaand deltawith the diagonals of a...

    Text Solution

    |