What is the projection of $<3, -6, 2>$ onto $<0, 1, 3>$ ?

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What is the projection of $<3, -6, 2>$ onto $<0, 1, 3>$ ?

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Answer 1 · 2016-02-14T12:09:56

$=c<0,0,0>$

Explanation:

$a=<3,-6,2> ; b=<0,1,3>$
$<a.b> =3*0+(-6)*1+2*3=0-6+6=0$
$<b*b> =0*0+1*1+3*3=10$
$c= (vec a*vec b)/(vec b*vec b)*vec b$
$c=0/10(0,1,3)$
$c=<0/10*0,0/10*1,0/10*3>$
$c=<0,0,0>$

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What is the projection of $<3, -6, 2>$ onto $<0, 1, 3>$ ?

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Explanation:

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