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The Basics of Newtonian Mechanics - the Scientia Review

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Vectors vs. Scalars<br />

In physics, <strong>the</strong>re are two types <strong>of</strong> quantities: vectors and<br />

scalars. Both vectors and scalars have magnitudes. <strong>The</strong><br />

magnitude <strong>of</strong> something is <strong>the</strong> size or amount <strong>of</strong> that<br />

quantity.<br />

For example, you can<br />

determine <strong>the</strong> magnitude <strong>of</strong><br />

<strong>the</strong> speed <strong>of</strong> a car by looking<br />

at <strong>the</strong> speedometer.<br />

Whereas scalars have no<br />

direction, vectors take into<br />

account both <strong>the</strong> direction<br />

and magnitude <strong>of</strong> <strong>the</strong> quantity. Direction can mean a few<br />

things. Generally quantities are ei<strong>the</strong>r in a positive or<br />

negative direction, but sometimes we say that a car is<br />

moving 3km/h nor<strong>the</strong>ast.<br />

An example <strong>of</strong> a scalar is displacement. It is important to<br />

know both <strong>the</strong> amount and direction <strong>of</strong> <strong>the</strong> displacement.<br />

An example <strong>of</strong> a scalar is time. Time only goes forward,<br />

which means that we can only have positive time. Mass is a<br />

scalar for a similar reason: it is impossible to weigh a<br />

negative number!<br />

4

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