point several unit vectors 3u6and in the xy plane not three dimensional space are shown in the figure using the geometric definition of the dot product are the following dot products positiv 18999
point several unit vectors 3u6and in the xy plane not three dimensional sp…
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Extend {u1=(1,1,1,1), u2=(2,2,3,4)} to a basis of 𝐑^4. First form the matrix with rows u1 and u2, and reduce to echelon form: [ 1 1 1 1 2 2 3 4] ∼[ 1 1 1 1 0 0 1 2] Then w1=(1,1,1,1) and w2=(0,0,1,2) span the same set of vectors as spanned by u1 and u2. Let u3=(0,1,0,0) and u4=(0,0,0,1). Then w1, u3, w2, u4 form a matrix in echelon form. Thus, they are linearly independent, and they form a basis of 𝐑^4. Hence, u1, u2, u3, u4 also
Extend {u1=(1,1,1,1), u2=(2,2,3,4)} to a basis of 𝐑^4. First form the matrix wit…
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