{
    "quiz": {
        "name": "9_3 The Scalar Product",
        "intro": "<p>There are two kinds of multiplication involving vectors.&nbsp;<\/p><p>The first is known as the <b>scalar product<\/b>\nor <b>dot product<\/b>. This is so-called because when the scalar product of two vectors is calculated the\nresult is a scalar. We can take the scalar product of any two vectors of the same size.&nbsp;<\/p><p>The second product is known as the <b>vector product<\/b>. When this is calculated the\nresult is a vector. The vector product is only defined for vectors in \\(\\mathbb{R}^3\\).&nbsp;<\/p><p>The definitions of these products may seem rather strange at first, but they are\nwidely used in applications. We will only consider the scalar product in this quiz.<br><\/p>",
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            "firstslot": "1",
            "heading": "Definition of the scalar product",
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        {
            "firstslot": "2",
            "heading": "A formula for finding the scalar product",
            "shufflequestions": 0
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        {
            "firstslot": "5",
            "heading": "Resolving one vector along another",
            "shufflequestions": 0
        },
        {
            "firstslot": "6",
            "heading": "Using the scalar product to find the angle between vectors",
            "shufflequestions": 0
        },
        {
            "firstslot": "12",
            "heading": "Vectors and electrostatics",
            "shufflequestions": 0
        }
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