2. (a) Find all nonzero vectors orthogonal to (1, -1,0) that lie in the plane z =...
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2.
(a) Find all nonzero vectors orthogonal to (1, -1,0) that lie in the plane z = x.
(b) Find all nonzero vectors orthogonal to the vector (3,2, -5) whose components sum to 4.
(c) Find an equation of the plane containing the point (1,2,1) with normal
(-1,2,1).
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