This subsection shows how to project orthogonally in two ways, the method of Example 3 2 and 3 3, and the method of Theorem 3 8 To compare them, consider the plane P specified by 3x 2y z 0 in R3 (a) Find a basis for P (b) Find P acute and a basis for P acute (c) Represent this vector with respect to the concatenation of the two bases from the prior item (e) Check that against the result from applying Theorem 3 8 112

Question: This subsection shows how to project orthogonally in two ways, the method of Example 3.2 and 3.3, and the method of Theorem 3.8. To compare

This subsection shows how to project orthogonally in two ways, the method of Example 3.2 and 3.3, and the method of Theorem 3.8. To compare them, consider the plane P specified by 3x + 2y - z = 0 in R3.
(a) Find a basis for P.
(b) Find P”´ and a basis for P”´.
(c) Represent this vector with respect to the concatenation of the two bases from the prior item.

(e) Check that against the result from applying Theorem 3.8.

112

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