Unformatted text preview: and . 11. Write an equation for the plane spanned by the two intersecting lines and . 12. Find the distance between the point and the line . 13. Show the following line and plane are parallel and then ﬁnd the distance between them. 14. Sketch a graph of the (quadric or cylindrical) surface given by the following equation: . 15. Below are equations and graphs. For each equation, identify the correct graph. Step 2: Insert realworld things into two of the above questions to make them word problems. For example, calculating  u + v  could be made a word problem by saying that a bird ﬂew in a straight line in some direction (giving u ) and then in another line (giving v ). How far is the bird from where he started from? Another example is to use vector projections in problems involving force in some direction not parallel to displacement. 1...
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 Spring '10
 IrinaKadyrova
 Equations, Vectors, Word problem, Euclidean geometry, Insert appropriate points

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