9_VectorFunc - Vector Functions Let x f (t), y g(t), z h(t)...

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Vector FunctionsLetx=f(t),y=g(t),z=h(t)be parametric equations thatdetermine the path of a particle.Thenrr(t)=φ(τ29ιρ+γ(τ29ϕρ+η(τ29κρis a position vector.Also, we can writerr(t)=ξιρ+ψϕρ+ζκρ.rr t( 29is a vector valued function.Domain:Range:The derivative ofrr t( 29=rr(τ29 =φ(τ29ιρ+γ(τ29ϕρ+η(τ29κρ.The derivative of position isSor(t) =The derivative is also called the tangent vector.Speed is themagnitude of velocity so speed =v.
The second derivative ofrr t( 29=rr(τ29 =φ(τ29ιρ+γ(τ29ϕρ+η(τ29κρ.The derivative of velocity is acceleration sorr(τ29 =αρτ( 29.ex.r(t) =t2,t3
Graphingrr(t),vrt( 29 ,αρτ( 291.
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Term
Spring
Professor
DONTREMEMBER
Tags
Geometry, Equations, Derivative, Parametric Equations, 2 K, 3 k, Vector valued function

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