#crossproduct

In this video, I derive a more convenient formula for the curvature of a space curve, which involves the cross product of the first two derivatives of the vector function. I derive this using the fact

In this video I go over the theorem for the length of a cross product as well as provide the proof for it. The length of a cross product is given by |a x b| = |a| |b| sin θ. I prove this by first applying