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        "intro": "<p>In science and engineering, frequent reference is made to physical quantities, such as force, speed and time. For example, we talk of the speed of a car, and the force in a compressed spring. It is useful to separate these physical quantities into two types. Quantities of the first type are known as <b>scalars<\/b>. These can be fully described by a single number known as the <b>magnitude<\/b>.&nbsp;<\/p><p>Quantities of the second type are those which require the specification of a <b>direction<\/b>, in addition to a magnitude, before they are completely described. These are known as <b>vectors<\/b>. We can perform calculations with vectors which build upon the familiar calculations with scalars, this includes subjects such as vector algebra, vector geometry and vector calculus.&nbsp;<\/p><p>Quantities that are vectors must be manipulated according to certain rules, which are described in this quiz. Each has a natural interpretation.<\/p>",
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            "heading": "The mathematical description of vectors",
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            "heading": "Example: force vectors on an aeroplane",
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