Let u = 2i – 3j and v = i + j. Find Proj_{v} u.
Question 2.6: Let u = 2i - 3j and v = i + j. Find Projv u.
Here (\mathbf{u} \cdot \mathbf{v}) /|\mathbf{v}|^{2}=-\frac{1}{2}, \text { so that } \operatorname{Proj}_{\mathbf{v}} \mathbf{u}=-\frac{1}{2} \mathbf{i}-\frac{1}{2} \mathbf{j}. This is illustrated in Figure 6.
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