Chapter 5 - Inner Product Spaces - 5.2 Orthogonal Sets of Vectors and Orthogonal Projections - True-False Review - Page 359: g

True

$w_1,w_2$ and $v$ are vectors in an inner product space $V$ We have the notation for the inner product: $P(w,v)=\frac{}{||v||^2}v$ then $P(w_1+w_2,u)=\frac{P}{||v||^2}v=\frac{+}{||v||^2}v=\frac{}{||v||^2}v+\frac{}{||v||^2}v=P(w_1,v)+P(w_2,v)$ Hence, the statement is true.