Question

Express vector U=<-2,2> as sum of vectors p +n. Where p is parallel to v and n orthogonal to v. Vector V = <2,1>

Answer 1

to determine the vector \(p\) parallel to \(v\) take their vector projection:$$\operatorname{proj}_v u=\frac{u\cdot v}{v\cdot v}v=\dots$$

Answer 2

observe: