u + kv = w, so u = w - kv = (4, 2, 3)^T - ( 4.07, 2.7, 1.36)^T = (-0.07, -0.7, 1.64)^T

End of the Chapter

You have reached the end this chapter. Your next project is to review the new terms encountered in these pages:

plane, defined by two vectors Two vectors define a plane.
projection, one vector onto another Projection of one vector onto another.
projection, vector, formula Formula for vector projection.
projection, vector, procedure Step-by-step procedure for vector projection.
projection, vector, orthogonal component Orthogonal component of vector projection.
projection, fast formulae Simplified calculation.

The projected future is for much more of this stuff. You are sure to get cross.