Use the inner product <p,q>=p(-3)q(-3)+p(0)q(0)+p(2)q(2) in P3 to find the orthogonal projection of p(x)=2x^2+4x+1 onto the line L spanned by q(x)=4x^2-6x-8. I keep on getting (246/2196)(4x^2-6x-8) but apparently that is wrong...

File: 1.80 MB, 531x570, bhCLe.gif [View same] [iqdb] [saucenao] [google]

Anonymous Thu Jun 20 22:38:47 2013 No.5848559 [Reply] [Original]

Use the inner product <p,q>=p(-3)q(-3)+p(0)q(0)+p(2)q(2) in P3 to find the orthogonal projection of p(x)=2x^2+4x+1 onto the line L spanned by q(x)=4x^2-6x-8.

I keep on getting (246/2196)(4x^2-6x-8) but apparently that is wrong...

>>	Anonymous Thu Jun 20 23:03:01 2013 No.5848608 File: 1.98 MB, 320x179, 1366036798649.gif [View same] [iqdb] [saucenao] [google] bump

>>	Anonymous Thu Jun 20 23:45:45 2013 No.5848684 File: 672 KB, 400x300, 1371137973868.gif [View same] [iqdb] [saucenao] [google] bump. need help understanding this. i thought 4chan was for smart fags. disregard jesus christ

>>	Anonymous Thu Jun 20 23:46:01 2013 No.5848687 rewrite it in LATEX so we can actually read it. See the sticky if you have no idea what I'm talking about.

>>	Anonymous Thu Jun 20 23:50:31 2013 No.5848693 >>5848559 what is p3. Orthogonal projection of a on b, is (although kinda sleepy and might be wrong) given by a-\langle a,b\rangle \langle b,b \rangle b. \langle a,b\rangle your inner product.

>>	Anonymous Thu Jun 20 23:54:00 2013 No.5848698 >>5848693 P3 is the vector space in which this problem is in. According to what I researched, orthogonal proj.= (<a,b>/<b,b>)b

>>	Anonymous Thu Jun 20 23:57:31 2013 No.5848704 >>5848687 Sorry doing extra credit right now. I'll read the sticky and get back to you guys later tonight. thanks

>>	Anonymous Fri Jun 21 15:21:58 2013 No.5849915 >>5848559 bump4mathfagjustis

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/sci/ - Science & Math