7.2 Vector Properties (#theoreticaltools)

Determine whether the following statements are true or false. If true, provide a brief

justification. If false, give a counterexample.

(a) u v=vu for vectors u, in R³

(b) ||cu|cu|| for constant c in R and u in R³

=

(c) u (vw) = uv-u w for vectors u,, w in R³

.