(ii) Let W = span{ } v = and The orthogonal projection of v onto W is projw(v) = and the component of v orthogonal to W is perpw(v) =

Do vectors wi = 2+ x and w2 = 3 – x, span P1(R)

Let P = (1,3) and Q = (2,6) be points in the plane. Find a vector-valued function R(t) = R0+tv such that R(t) describes the line through P and Q.

Let v (a) 20 = - (1, 4, 2) and w 4w = (b) Let s = t = = (1, - 4,0). (-2,24,4) (t, 1, 0). For which value(s) of t are w and 3 parallel?