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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