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How to determine if vectors are parallel?

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One could use the relation


\mathbf a\cdot\mathbf b=\|\mathbf a\|\|\mathbf b\|\cos\theta

where
\mathbf a,\mathbf b are two vectors,
\|\mathbf a\| denotes the norm of that vector, and
\theta is the angle between the two vectors.

Then the two vectors will be parallel if
\theta=0 or
\pi.
User Ravindra Babu
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