# arrow_back Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal vectors in $R^{4}$.

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Show that $\mathbf{u}=(-2,3,1,4)$ and $\mathbf{v}=(1,2,0,-1)$ are orthogonal vectors in $R^{4}$.

The vectors are orthogonal since $$\mathbf{u} \cdot \mathbf{v}=(-2)(1)+(3)(2)+(1)(0)+(4)(-1)=0$$
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