Suppose v = span( v) c r". show that there are vectors w1 , . , wk e v that are mutually orthogonal (i. e., wi wi =0 whenever i j) that also span v. (hint: let w1 = v1. using techniques of section 2, define w2 so that span(w, w2) = span (v1, v2) and wi w2 = 0. continue.)

He trapezoid is composed of a rectangle and two triangles. what is the area of the rectangle? what is the total area of the triangles? what is the area of the trapezoid? ? a) 42 cm2; 27 cm2; 69 cm 2 b) 54 cm2; 27 cm2; 81 cm 2 c) 108 cm2; 27 cm2; 135 cm 2 d) 108 cm2; 13.5 cm2; 121.5 cm 2