MathAlgebraLinear algebraVectors and vector spaces

Vector dot product

Find orthogonal vectors

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Given three vectors in $\mathbb{R}^{4}$ , namely $\vec{x} = \begin{pmatrix}0&1&3&1\end{pmatrix}$ , $\vec{y} = \begin{pmatrix}1&2&0&-2\end{pmatrix}$ and $\vec{z} = \begin{pmatrix}2&1&-3&2\end{pmatrix}$ , determine which of them are orthogonal.

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\vec{y}

and

\vec{z}

\vec{x}

and

\vec{z}

\vec{x}

and

\vec{y}

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