Determine the terminal point B such that vector v = vector AB. v has the same di

Question

Determine the terminal point B such that vectorv = vector AB. v has the same direction as [2,1], themagnitude of vector v = 45, A=(-4,-2). Determine the terminal point B such that vectorv = vector AB. v has the same direction as [2,1], themagnitude of vector v = 45, A=(-4,-2). v has the same direction as [2,1], themagnitude of vector v = 45, A=(-4,-2).

Explanation / Answer

let B(x,y) OB=OA+t(2,1) => x=2t -4   andy=t-2   where t> 0 (v has the samedirection as [2,1] ) |v|^2= (x-(-4))^2+ (y-(-2))^2 =90 => (2t)^2 + t^2=90 => 5.t^2=90 => t^2=16   => t=4 (notethat t>0) => x=4,y=2 =>B(4,2)

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