XDocument1 - WordAutoSaveevie tuckerOffЕTMailingsReviewShareFileDesignReferencesViewHelpSearchHomeInsertDrawLayoutCommentsFindCut11A A Aa AE2TCalibri (Body)AаBЬСcDc AaBЬСcDc AaBbC( AаBbСCcL A авReplaceCopyPasteDictateT NormalNo Spa... HeadingВ IUab х, х* АHeading 2TitleSelectFormat PainterClipboardParagraphStylesEditingVoiceFontN31and v2Find the closest point to y in Span{vı, V2}.0. Let y =Vị =1133FocuswordsPage 1 of93%7:20 PMаоType here to searchW511/18/2019!!ili

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Asked Nov 19, 2019
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11A A Aa A
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AаBЬСcDc AaBЬСcDc AaBbC( AаBbСCcL A ав
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Dictate
T Normal
No Spa... Heading
В IUab х, х* А
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N
3
1
and v2
Find the closest point to y in Span{vı, V2}.
0
. Let y =
Vị =
1
13
3
Focus
words
Page 1 of
93%
7:20 PM
а
о
Type here to search
W
5
11/18/2019
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X Document1 - Word AutoSave evie tucker Off ЕT Mailings Review Share File Design References View Help Search Home Insert Draw Layout Comments Find Cut 11A A Aa A E2T Calibri (Body) AаBЬСcDc AaBЬСcDc AaBbC( AаBbСCcL A ав Replace Copy Paste Dictate T Normal No Spa... Heading В IUab х, х* А Heading 2 Title Select Format Painter Clipboard Paragraph Styles Editing Voice Font N 3 1 and v2 Find the closest point to y in Span{vı, V2}. 0 . Let y = Vị = 1 13 3 Focus words Page 1 of 93% 7:20 PM а о Type here to search W 5 11/18/2019 !!ili

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Let W Span {v, v,} Clearly, W is a subspace spanned by Vi and V. (Vi,v)=-4-2+6 =0 Hence, {Vi, V2} is an orthogonal set of vectors Also, Vi and V2 are not multiples of each other, therefore they are linearly independent Hence, Vi,V2is an orthogonal basis for W The closest point to y is given by projection of y on W. (y.v}. (y,v.) (vi,v, Projy 3 2-126 1+4 14 3vi -12-1+39 16 1 9 1 -4 -2 =3 -1 1 0 2 -5 Hence, Projy -3

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