Answer the following questions and, in each case, give geometric explanations of your answers: (a) Is it possible to have a pair of one-dimensional subspaces U1 and U2 of R3 such that U1∩U2 = {0}? (b)...

Answer the following questions and, in each case,

give geometric explanations of your answers:

(a) Is it possible to have a pair of one-dimensional

subspaces U1 and U2 of R3 such that U1∩U2 =

{0}?

(b) Is it possible to have a pair of two-dimensional

subspaces V1 and V2 of R3 such that V1 ∩V2 =

{0}?