If u = (1,2,2), = (2,7,6) and w = (0,1,3) 1) Find the angle between the vectors u and v. 2) Prove that (v+w) × u = (v×ū) + (w×ū).

Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)

Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.