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determine whether u and v are orthogonal, parallel, or neither. u = 2i - 3j + k , v = -i - j - k

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Two vectors are parallel if they are scalar multiples of one another. If u\mathbf{u} and v\mathbf{v} are two non-zero vectors and u=cv\mathbf{u}=c\mathbf{v}, where cc is scalar, then u\mathbf{u} and v\mathbf{v} are parallel.

Two vectors u\mathbf{u} and v\mathbf{v} whose dot product is uv=0\mathbf{u}\cdot \mathbf{v}=0 are said to be orthogonal.

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