express the vector V as the sum of a vector parallel to B and a vector orthagonal to B
V=4i-2j+6k, B=-2i+j-3k
I got the orthognal as 7/3(-2i+j-3k)
but i dont understand the first part for the line of me!please help someone
1.You may have noticed that . That means and are collinear (or in simple terms: They are parallel).
2. Let denote the vector orthogonal to (by the way there are an unlimited number of such vectors!) then you have to determine :
with
You'll get where is the nullvector. (Per definition the nullvector is orthogonal to every vector)