What is the distance between #(–4, 3, 0) # and #(–1, 4, –2) #?
By using the normal Euclidean metric in
Distance between is
You can construct this scenario using triangles. First you build the xy image (2 space). This image 'if you so prefer, can be viewed as a shadow cast by the actual vector in 3 space. Thus you have two triangles which when combined can be solved using the principle of Pythagoras. Instead of
So for your question we have: