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Unformatted text preview: L . MATH 103 TEST 1 3 IV. (9 points) Determine whether L 1 and L 2 intersect: L 1 : x = 2 t, y = 5t, z = t ; L 2 : x = 1 + s, y = 2 + s, z = 3 + s. V. (6 points) Sketch the graphs of the following equations: a) zy 2 + x 2 = 0 b) z 2y 2x 2 = 0 4 MATH 103 TEST 1 VI. (6 points) Determine if the following statements are True or False, and justify your answer brieﬂy. a) The points (2 , 1 ,1), (3 , , 1) and (4 , 1 , 3) all lie on the same line. b) If the velocity of a particle moving in space is ~ V ( t ) = 1 t + 2 ~ i + ~ j + 2 t ~ k , and the initial position is (0 , , 0) at t = 0, then the particle’ position as a functin of t is ~ r ( t ) = ln  t + 2  ~ i + t ~ j + t 2 ~ k ....
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 Spring '08
 HAIN
 Math, Geometry, Euclidean geometry, Parametric equation

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