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Given two planes 2x - y + z = 7 and x + 3y -...

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Advance Math

Given two planes 2x - y + z = 7 and x + 3y - 4z = 1.

(a) Give an orthogonal vector to each plane.

(b) Do the planes intersect? Why or why not?

(c) If they intersect, find the parametric equation of theintersection line, if not, find the distance of both planes.

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