Khan exercises Maths Tools 1

Vector Fields: Finding Values

New Numbers

Let K:R2R2K : \mathbb R^2 \to \mathbb R^2 be the plane vector field with K(x,y)=(2x+5y2x3y). K(x,y) = \begin{pmatrix} 2 x + 5 y \\ -2 x - 3y \end{pmatrix}.

Move the given point (a,b)(a,b) to the endpoint of K(a,b)K(a,b).

Created with Raphaël 2.3.0Created with Raphaël 2.3.0224466881010-4\llap{-}4-6\llap{-}6-8\llap{-}8-10\llap{-}1022446688-4\llap{-}4-6\llap{-}6-8\llap{-}8-2\llap{-}2-2\llap{-}2xxyy
Created with Raphaël 2.3.0
Created with Raphaël 2.3.0