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Unformatted text preview: p ( s ) = & 3 & s p 13 i + & 2 & s p 13 & 3 j = & 3 p 13 13 s i + 2 p 13 13 s & 3 ! j . 1 Please understand that the curves described by r and p are the same ! For example the portion of r that is traced out as t varies over the interval & 2 t 2 is the same as the portion of p that is traced out as s varies over the interval & 2 p 13 t 2 p 13 . What is &specialabout the parameter s is that it corresponds to the actual distance travelled along the curve (beginning from the point (6 ; & 7) ) in travelling to the point whose position vector is p ( s ) . 2...
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- Fall '10