a)〜d)の訳とd)の答を教えてください。


Consider the following three vectors in space given by their coordinates
u(6/7, -3/7, 2/7), v(2/7, 6/7,3/7) w(-3/7, -2/7, 6/7)


a) Verify that these vectors are unit vectors, orthogonal to each other,
and form a right-handed triple, if ordered as above.


b) Construct the rotation matrix transforming the old components of
a vector (namely those with respect to i, j, k) to new ones (with
respect to u, v, w)

c) Evaluate, by vector-matrix multiplication, the new coodinates of the
vectors a(0, 3, 2), b(-l,4, -3),and c(2, -2, -2).

d) Give a geometrical interpretation of the peculiar behavior of vector c.