# Are the projection lengths of the mutual vector projections equal?

Is the projection of $$U$$ on $$X$$-axis (i.e $$a$$) equal to the projection of $$X$$ on $$U$$ (i.e $$b$$)?

Does this apply to all the vector projections? I can see that there is a symmetry in the intersection point of two projections which implies that both the lengths are same but somewhere, I have a feeling that I have not understood the concept quite clearly.

Can anybody please elaborate on this?

• Look for congruent triangles. – amd Nov 26 '18 at 2:59