Given the ellipse
##0.084x^2 − 0.079xy + 0.107y^2 = 1 ##
Find the semi-major and semi-minor axes of this ellipse, and a unit vector in the
direction of each axis.
I have calculated the semi-major and minor axes, I am just stuck on the final part.
this is where ##ux^2+2vxy+wy^2=1##
The Attempt at a Solution
I have calculated the two eigenvalues, 0.13664... and 0.05436... and therefore found the semi-major and semi-minor axes. I'm just not sure where to go next. I have worked out the ratios for q/p but I'm not sure how to use them.