Suppose you have a box centred at C(a, b, a + b), having a length (along x-axis) of 2a units, width (along y-axis) 4b units and height (along z-axis) of 8(a + b) units. Using dot and cross products, illustrate whether the point P(4a², ¹b², 16ab) lies inside or outside of the box. 4

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