Question

vectors

Answer 1

if u,v, and w are unit vectors then (u . v) . w = u . (v.w)
dot is dot product

Answer 2

dot product gives the similarity of directon of two vectors

Answer 3

the dot product of the orange one up and the black one
would be zero, because they share no x- or y- magnitude

Answer 4

does a dot product return a direction? if it just returns a scalar how can you take the dot product of a vector and scalar??

Answer 5

I am not with you then. I am sorry, (u.v) = scalar , and then, you cannot take dot product between a scalar and a vector like what you said. if you say (u.v) time * w, then you are right