5. Let v = (2, 1, -4) and w = (3, -3, 1). Find vectors a and b such that v = a + b where a is parallel to w and b is perpendicular to w. 6. Let u = (1, 2, -3) and v = (4,0, -2). Compute u x v. 7. Let u = (2, 4, –4) and v = (1, –3, 1). Compute u x v. 8. Using the fact that u x v = (1, 1, 0), compute (u – 2v) × (u + v). %3D

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