Given vectors u = 〈2, −1,3〉, v = 〈2,0, −2〉, and w = 〈−3,6,0〉, find the following.
a. 3u + v + w
b. w − 2v − u
c. 3 −12
−13
w
d. −2u − 3(5v − 3w)
e. ‖u‖, ‖v‖ and ‖w‖
f. show that ‖v‖ = ‖‖.
g. show that ‖u + v‖ ≠ ‖u‖ + ‖v‖.
h. show that ‖v − w‖ ≠ ‖v‖ − ‖w‖.
i.
‖u‖ u and
‖u‖