Question
Asked Sep 16, 2019
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For the vectors u = (-2,2, -1) and v
(-2,1, 3), expressu as the sum u =p n, where p is parallel to v and n is orthogonal to v.
u pn
+
(Type integers or simplified fractions. List the terms in the same order as they appear in the original list.)
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For the vectors u = (-2,2, -1) and v (-2,1, 3), expressu as the sum u =p n, where p is parallel to v and n is orthogonal to v. u pn + (Type integers or simplified fractions. List the terms in the same order as they appear in the original list.)

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Expert Answer

Step 1

To find the orthogonal decomposition of the vector u along and perpendicular to v

Step 2
Let upn, as required
So ucvn for some scalar
c,and n orthogonal to v.
So,u,vc<v,v>+<n,v>
9 14c0 c-
14
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Let upn, as required So ucvn for some scalar c,and n orthogonal to v. So,u,vc<v,v>+<n,v> 9 14c0 c- 14

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