Show that the vector of residuals and the vector of fitted values are orthogonal. Also, show graphically
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- What is the different between linear dependent and linear independent vectors? Given any three examples.Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal point Q(-5, 2, 2).Indicate the options that contain an orthogonal set of vectors: Enter your answer in ascending order, in case of excess enter a 0.
- Find an equation of the plane through (1, −3, 5) with normal vector n =〈2, 1, −4〉.What will happen if the Gram–Schmidt process is applied to a set of vectors {v1, v2, v3}, where v1 and v2 are linearly independent, but v3 ∈ Span(v1, v2). Will the process fail? If so, how? Explain.Show that a set of vectors, which contains a set of linearly dependent vectors, is linearly dependent. What is the analogous statement about linearly independent vectors?