First, calculate the dot products and . The scalar coefficient is .
Conditions: ;
First, calculate the dot products and . The scalar coefficient is .
Conditions: ;
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First, calculate the dot products and . The scalar coefficient is .
Conditions: ;
First, calculate the dot products and . The scalar coefficient is .
Conditions: ;
First, find the residual by subtracting the projection from , resulting in . Then, compute the dot product of the projection and the residual .
Conditions: ; Projection is ; Residual is
First, find the residual by subtracting the projection from , resulting in . Then, compute the dot product of the projection and the residual .
Conditions: ; Projection is ; Residual is