Unformatted text preview: r ( t ) = ± 10t, 2 t, 5 t 3 ² and the position of the spear is modelled by the space curve s ( t ) = h 2 t,t, 9 t + 4 i . Does the chief get a new plaque for his wall? Do the man and the spear cross paths? 6. Evaluate the integral: (a) Z ³ e t i + 1 t j + t 3 k ´ dt (b) Z π (sin t i + cos t j + k ) dt 7. If u ( t ) = r ( t ) · [ r ( t ) × r 00 ( t )], show that u ( t ) = r ( t ) · [ r ( t ) × r 000 ( t )]. 1...
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 Spring '08
 BOCIU
 Math, Calculus, vector function, Vectorvalued function, The Headhunters, Group Work Quiz

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