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Hi, I really need help with the following problem and received an off topic reply on the past post. Please help!!!

 

Let v and w be vectors such that projw(v)=(47).

Find proj2w(3v).

 Oct 11, 2019
 #1
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The equation,

projxy=xy|x|x|x|projxy→=xy|x|x|x|

Holds for any vectors we can let those be πaπaandebeb. Where ππ and ee are some random constants like −2−2 and 33.

projπaeb=πaeb|πa|πa|πa|projπaeb→=πaeb|πa|πa|πa|

Now usea(cb)=caba(cb)=caband|cw|=c|w||cw|=c|w|. To get

e(pro j base a to the power of b) is the answer because 

π2eπ2ab|a|a|a|=π2eπ2ab|a|a|a|=

 Oct 11, 2019
edited by SVS2652  Oct 11, 2019

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