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Find the unit vectors that are tangent and normal to the curve at the given point x=3cost , y= 3sint, t= -pi/4

2007-05-05 08:14:42 · 2 answers · asked by Xabi A 1 in Science & Mathematics Mathematics

2 answers

dx/dt=-3sin(t)
dy/dt=3cos(t)
Therefore, unit vector tangent = (sqrt(2)/2, sqrt(2)/2)
Unit normal is (-sqrt(2)/2, sqrt(2)/2)

2007-05-05 08:20:16 · answer #1 · answered by bruinfan 7 · 0 0

Easy, x=7cost, y=-7sint, t= pi/3

2007-05-05 15:18:53 · answer #2 · answered by 99 2 · 0 0

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