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  3. 1 exercise 7 2 a plane p in r is defined by x 2y 3

1 Exercise 7 2 A plane P in R is defined by x 2y 3y...

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Algebra

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1 Exercise 7 2 A plane P in R is defined by x 2y 3y 0 It has v 2 and w b For u 1 3 T vectors a Find 3 vectors v and w so that v v and w w are orthogonal bases for P there are many possible answers as basis 1 B 1 compute Projp u in terms of the bases v v and w w that you found in part a i e find scalars a b and c d for which Projp u av bv and Projp u cw dw c Consider the two forms for Projp u that you derived in part b Show that they describe the same vector

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