Expressing a Projection on to a line as a Matrix Vector prod

[s0m0c]

Gracias.



[LAnonHubbard]

@EvgenijM86 Sal is applying the projection to the first column of the identity matrix (the "x" basis vector [1 0]). The projection formula was already defined to be (vector_to_project "dot" unit_vector) * unit_vector. In this case vector_to_project is the "x" basis vector.

[V2PRC]

Great lectures.

[97021840]

excellent

[alkalait]

I've come to think of the dot product also as the projection of a onto b, as if b was a unit vector, but with that projection scaled to times the length of b

[gekorio]

I think I understand your thinking, but the dot product give us a scalar, so it can't be a projection, right?

[alkalait]

yes, apologies. the projection is a vector, my mistake. replace the word "projection" with "length of projection", to what I said before.

[joeyjoey1122]

(y) 5 stars