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(a) Find the volume of the parallelepiped determined by the vectors a =< 2, −1, 3...

(a) Find the volume of the parallelepiped determined by the vectors a =< 2, −1, 3 >, b =< −3, 0, 1 >, c =< 2, 4, 1 >.

(b) Find an equation of the plane that passes through the point (2, 4, −3) and is perpendicular to the planes 3x + 2y − z = 1 and x − 2y + 3z = 4.

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