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**1. Homework Statement**

Find a plane containing the line r(t) = <5,5,-1> + t<-6,-7,-7> and orthogonal to the plane -5 x + 5 y -2 z = 1

**3. The Attempt at a Solution**

I...honestly have no idea where to even begin. I don't recall ever being taught how to find a plane given a line and the orthogonal plane. I know how to do it with three points and 1 point plus a line and two vectors...but not a line and an orthogonal plane...could someone point me in the right direction?