4. Find the angle that the long diagonal of a 3 x 4 x 5 rectangular box makes with the longest edge. = arccos(1/4). Prove 5, Suppose x, y e R", ||x ||= 2, |ly||= 1, and the angle 0 between x and y is e that the vectors X - 3y and x + y are orthogonal. 6. Suppose x, y, z e R are unit vectors satisfying x + y + z = 0. What can you say about the angles between each pair?

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