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Unformatted text preview: 10.2 day 2 Vector Valued Functions Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2006 Everglades National Park, FL Photo by Vickie Kelly, 2006 Everglades National Park, FL Photo by Vickie Kelly, 2006 Everglades National Park, FL Photo by Vickie Kelly, 2006 Everglades National Park, FL Any vector can be written as a linear combination of two standard unit vectors. , a b = v 1,0 = i 0,1 = j , a b = v ,0 0, a b = + 1,0 0,1 a b = + a b = + i j The vector v is a linear combination of the vectors i and j . The scalar a is the horizontal component of v and the scalar b is the vertical component of v . We can describe the position of a moving particle by a vector, r ( t ). ( 29 t r If we separate r ( t ) into horizontal and vertical components, we can express r ( t ) as a linear combination of standard unit vectors i and j . ( 29 ( 29 ( 29 t f t g t = + r i j ( 29 f t i ( 29 g t j In three dimensions the component form becomes: ( 29 ( 29 ( 29 ( 29 f g h t t t t = + + r i j k Graph on the TI89 using the parametric mode. Graph on the TI89 using the parametric mode....
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 Winter '08
 JARVIS
 Calculus

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