Solved: The equation of a plane, The equation of a plane.Are these statements true or false and, Mathematics

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The equation of a plane

Questions:

The equation of a plane

Part I:

<(u x v), u> is greater than 0 for all vectors u and v in R^3.

Part II:

The equation of the plane through the origin determined by two vectors u and v in R^3 is <(u x v), x> = 0.

Are these statements true or false and please explain why.

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Mathematics: The equation of a plane

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