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Consider the plane P given by the equation 3x + 4(y + 1) - (z - 5) = 0 and the line l(t) = p0 + tv.

(a) Find a value of v that makes the line perpendicular to the plane P.

(b) Find a value of v that makes the line parallel to the plane P.

(c) Find values for v and p0 that make the line lie in the plane P

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