## 8.3. Vectors

Physicists and engineers have been able to use vectors in the description of nature and space. Numeric is a quantity with magnitude only (single number).
Definition of scalar
A scalar is a quantity with magnitude and no direction.
Examples of scalars are length and time. We use the term scalar to mean a real number $ℝ$.
Definition of vector
A vector is a quantity with both magnitude and direction.
Examples of vectors are velocity and force.
$AB→$ is a vector with initial point A and terminal point B and its length (or magnitude) is $‖AB→‖$. Thus, ...

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