If u and v are vectors in R^n, and if v≠0 ⃗, then u can be expressed in exactly one way in the form u=w_1+w_2, where w_1 is a scalar multiple of v and w_2 is orthogonal to v. The vector w_1 is called the _____.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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If u and v are vectors in R^n, and if v≠0 ⃗, then u can be expressed in exactly one way in the form u=w_1+w_2, where w_1 is a scalar multiple of v and w_2 is orthogonal to v. The vector w_1 is called the _____.

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