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Project the vector b = (1,3,1) onto the line through %3D a, %3D (-1,2, 2), az = (2, 2, 1), 3 (2, 1,2). Answer

Project the vector b = (1,3,1)" onto the line through %3D a, %3D (-1,2, 2), az = (2, 2, 1)", 3 (2, 1,2). Answer the following questions: 1) Find the three projection vectors p1, p2 and p3. 2) Find the projection matrices P1, P2 and P3. 3) Verify that P1+P2+P3=I. Therefore the three vectors a1, az and az are perpendicular to each other.

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