Let y = 4 -6 6 U1 = -2 -5 1 U2 = -2 2 6 Find the distance from y to the plane in R3 spanned...

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Advance Math

Let y =

4
-6
6

U1 =

-2
-5
1

U2 =

-2
2
6

Find the distance from y to the plane in R3 spanned by U1 andU2. Exact answer please.

Answer & Explanation Solved by verified expert
4.0 Ratings (729 Votes)
You have Wspan251226 First orthonormalize the basis of WW to find U1U2U1U2 using the GramSchmidt algorithm After this an easy way to compute the projection on WW would be this compute the projections of PP on U1U1 and    See Answer
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