Practice Final #5b
Not 100% sure about this, but for part b, using the projection method the Professor went over in class, I got 5/6<1,2,1> + 9/31<-3/2,-1,7/2> which simplified to <37/93, 128/93, 172/93> Anyone else get this?
nikhil2324: May 31, 2015, 9:42 p.m.
My second vector was <-7/6, -1/3, 11/6>. How did you do your calculation?
wqzhang: May 31, 2015, 10:47 p.m.
Same answer as tanishaharlalka's.
dannystapleton: June 1, 2015, 4:30 p.m.
Start off the problem by turning the given set into an orthogonal basis, as shown by the professor in class. Essentially you need to transform {V_{1}$ , V_{2}$} into an orthogonal basis {W_{1}$ , W_{2}$} using the Gram-Schmidt process. If you do this, you should get the same answer above, as shown by tanishaharlalka. ^
valerie: June 1, 2015, 8:12 p.m.
I think your second vector should come out to be <-3/2, -1, 7/2>
JeremyGiampaoli: June 4, 2015, 4:19 p.m.
Just another hint, make sure you're not treating the vector like you're making an orthogonal basis vector out of it. The projection is only the vector projected onto the others, not the vector itself minus the projections as if it was another basis vector.