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1,Let v=(1,1)v=(1,1) be a vector in the xy-plane. Find a planar vector w which has length...

1,Let v=(1,1)v=(1,1) be a vector in the xy-plane. Find a planar vector w which has length 2√2, has a positive first component and is perpendicular to v.

W=(,)

2, Find the points where the line l(t)=(1−t,1+t,t) intersects the plane z=x+y

(Give the answer in the form of comma separated list of points like (*,*,*), (*,*,*)

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