Direction Cosines

 

Interactive Graph

Use the Interactive diagram given below to see the direction cosines of a vector with x, y , z and all three axis in three dimensional view.

  • Stylingbar graphicsview standardview.svg Go Back to Default View: You may move the coordinate system back to the default view.
  • Stylingbar graphics3D rotateview play.svg Start / Stop rotating the View Automatically
  • Stylingbar graphics3D view xy.svg Adjust the View Direction: You may choose between the view towards the Stylingbar graphics3D view xy.svg xOy-plane, Stylingbar graphics3D view xz.svg xOz-plane, Stylingbar graphics3D view yz.svg yOz-plane, 
  • Stylingbar graphics3D standardview rotate.svg rotate back to the default view.

1. Direction cosine of a vector with x axis.

Hold and drag the point ‘p’ Horizontally and vertically to adjust the position vector of ‘P’ and observe the angel it make with x – axis.

2. Direction cosine of a vector with y axis.

Hold and drag the point ‘p’ Horizontally and vertically to adjust the position vector of ‘P’ and observe the angel it make with y – axis.

3. Direction cosine of a vector with z axis.

Hold and drag the point ‘p’ Horizontally and vertically to adjust the position vector of ‘P’ and observe the angel it make with z – axis.

3. Direction cosine of a vector

Hold and drag the point ‘p’ Horizontally and vertically to adjust the position vector of ‘P’ and observe the angel it make with all three axes.