Checking Parallelism in 2D Using Vectors

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Given two vectors \(\vec{v} = \begin{pmatrix} 3 \\ -6 \end{pmatrix}\) and \(\vec{w} = \begin{pmatrix} -1.5 \\ 3 \end{pmatrix}\), determine if they are parallel by verifying if one is a scalar multiple of the other. Provide your reasoning.

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Hint

Recall that two vectors are parallel if there exists a scalar \(k\) such that \(\vec{w} = k\vec{v}\).

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Yes, they are parallel because \(\vec{w} = -0.5\vec{v}\).

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Checking Parallelism in 2D Using Vectors

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Checking Parallelism in 2D Using Vectors

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