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        "name": "9_5 Lines and Planes",
        "intro": "<p>Vectors are very convenient tools for analysing lines and planes in three dimensions. In this quiz you will learn about direction ratios and direction cosines and then how to formulate the vector equation of a line and the vector equation of a plane. Direction ratios provide a convenient way of specifying the direction of a line in three dimensional space. Direction cosines are the cosines of the angles between a line and the coordinate axes. We begin this quiz by showing how these quantities are calculated.<\/p>",
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