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Question

2. Consider the following set and vector

-AG-A

(a) An orthogonal basis is a basis where all the vectors are orthogonal to each

other. Show that B is an orthogonal basis for R³.

B=

(b) An orthogonal basis is called an orthonormal basis if all the vectors in basis

set are normal (i.e. has length 1.) Turn B into an orthonormal basis C by normalizing

the vectors in B.

(c) Find the B-coordinates of 7 =

=

(d) Find the C-coordinates of =

Fig: 1