Question
In Exercises 31-40, find the angle $\theta$ between the vectors.$\mathbf{u} = 5\mathbf{i} + 5\mathbf{j}$$\mathbf{v} = -6\mathbf{i} + 6\mathbf{j}$
Step 1
The dot product of two vectors $\mathbf{u}$ and $\mathbf{v}$ is given by $\mathbf{u} \cdot \mathbf{v} = u_{1}v_{1} + u_{2}v_{2}$. So, for our vectors, we have: $\mathbf{u} \cdot \mathbf{v} = (5)(-6) + (5)(6) = -30 + 30 = 0$ Show more…
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