A good answer might be:

The picture is below.


Same Angle; Same Dot Product

The two vectors that have a dot product of -0.866 with qu = (0.0, 1)T are:

zu = (-0.5, -0.866)T
vu = ( 0.5, -0.866)T

In the diagram, the two have their tail placed at the origin. (But remember: vectors are not fixed to any particular location and can be drawn anywhere that is convenient). The dot product gives you the angle between the orientation of two vectors.


 

QUESTION 12:

What is the angle between these two vectors: du = 0.7071(1, 1)T and eu = -0.7071(1, 1)T

Sketch the vectors to see the situation.