note that the vectors
[ 1/√2] [ 1/√2] [ 0 ]
u1 = [ 1/√2], u2= [ 1/√2] u3= [ 0 ]
[ 0 ] [ 0 ] [ 1 ]
form an orthonormal basis for R³. We know that we can express any vector v in R³ as a linear combination of the form v= a₁u₁ + a₂u₂ + a₃u₃. If , v = (2, 3, 1)ᵀ, what is a₂?
o -1/√2
o 3
o (2/√2, -3/√2, 0)ᵀ
o It’s impossible to determine from the information given
o 5/√2