Question: . Project the vector b = (1,4. 2) onto the plane S that contains; the vectors 0.1 = (1:2. 1) and a2 = {1 1,0].

. Project the vector b = (1,4. 2) onto the plane S that contains; the vectors 0.1 = (1:2. 1) and a2 = {1 1,0]. (i) Find the 3 x 3 projection matrix P onto 3. (ii) Show that P2 = P. [iii] Find a vccmr whose projection onto 8 is the zero vector; J (iv Show that I P projects onto the lino perpendicular to 5'

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