If uuu and vvv are orthogonal, what is ∣∣u+v∣∣2||u+v||^2∣∣u+v∣∣2?
∣∣u∣∣2+∣∣v∣∣2||u||^2 + ||v||^2∣∣u∣∣2+∣∣v∣∣2
∣∣u∣∣2+2(u⋅v)+∣∣v∣∣2||u||^2 + 2(u \cdot v) + ||v||^2∣∣u∣∣2+2(u⋅v)+∣∣v∣∣2
∣∣u∣∣2−∣∣v∣∣2||u||^2 - ||v||^2∣∣u∣∣2−∣∣v∣∣2
∣∣u+v∣∣||u+v||∣∣u+v∣∣