Question: Let (1, 0) and (0, 1) represent the unit vectors along the x and y directions, respectively. The operator Effects a rotation in the x-y

Let (1, 0) and (0, 1) represent the unit vectors along the x and y directions, respectively. The operator

cose -sine sine cose

Effects a rotation in the x-y plane. Show that the length of an arbitrary vector 

0--80 + b

which is defined as ˆša2 + b2 , is unchanged by this rotation. See the Math Supplement (Appendix A) for a discussion of matrices.

cose -sine sine cose 0--80 + b

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