Question
Find the angle $\theta$ between the vectors.$$\mathbf{u}=(-4,1), \quad \mathbf{v}=(5,0)$$
Step 1
The dot product of two vectors $\mathbf{u}$ and $\mathbf{v}$ is given by $\mathbf{u} \cdot \mathbf{v} = u_1v_1 + u_2v_2$. So, for our vectors, we have: \[\mathbf{u} \cdot \mathbf{v} = (-4)(5) + (1)(0) = -20\] Show more…
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