[Steps Shown] Let v 1 = , v 2 = , and v 3 = . Find a vector v 4 in R 4 such that the vectors v 1, v 2, v 3, and v 4 are orthonormal. v 4 =
Question:
Let
v
1 =
,
v
2 =
, and
v
3 =
. Find a vector
v
4 in R
4
such that the vectors
v
1,
v
2,
v
3, and
v
4 are orthonormal.
v
4 = ?
Deliverable: Word Document 
(See Solution) Use the inner product < f ,g >= in the vector space
![[Step-by-Step] Let M1 = and M2 =](/images/solutions/MC-solution-library-58765.jpg "[Step-by-Step] Let M1 = and M2 = . Consider the inner product")
[Step-by-Step] Let M1 = and M2 = . Consider the inner product
(Step-by-Step) Suppose v 1, v 2, v 3 is an orthogonal set of vectors
![[Steps Shown] All vectors and subspaces are](/images/solutions/MC-solution-library-58767.jpg "[Steps Shown] All vectors and subspaces are in R n . Check the true")
[Steps Shown] All vectors and subspaces are in R n . Check the true
![[Solution] All vectors are in R n](/images/solutions/MC-solution-library-58768.jpg "[Solution] All vectors are in R n . Check the true statements")
[Solution] All vectors are in R n . Check the true statements
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