Question: Consider points P = (-2,3, 1) and Q = (4, 3, 2), vector a = (1, 0, -1), and vector v = (2, 2, -1).

Consider points P = (-2,3, 1) and Q = (4, 3,

Consider points P = (-2,3, 1) and Q = (4, 3, 2), vector a = (1, 0, -1), and vector v = (2, 2, -1). . What is the angle between u and v? You may use cos in your answer. . Find all unit vectors perpendicular to u and v in IR3. . Find an equation for the plane through / that contains the line ((t) = Q + tu. . For n the normal vector of your plane, find a unit vector w which maximizes |n x will

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