Question 2 Consider the point P(-2, 1, 4) and the vectors a =< 2,-1,2 > and b=<3, -2,-2 >. (a) Find the unit vector u that has the opposite direction of a. (b) Find the Plane that passes through the point P and is orthogonal to the vector 6u- 2b. (c) Find the point, if any, at which the Line with parametric equations x=-1-t, intersects the Plane found in part b). y=2+t, z = -3t

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